The following are the detailed steps you need to follow to fix your iPhone’s system issue via Wondershare Dr.Fone: Step-by-Step Guide To Fix Most of the iOS Issues via Wondershare Dr.Fone It also allows its users to recover the data from their devices in any situation.This tool is also a platform to transfer your data from any device to other devices regardless of the operating system in them.Wondershare Dr.Fone is able to unlock any phone if it gets locked for any reason.Safe & secure Key Features of Wondershare Dr.Fone Here is how to exit Recovery Mode via Wondershare Dr.Fone: It is accompanied by a simple and easy-to-use guide to help its users get their iPhones out of Recovery Mode. Wondershare Dr.Fone is an efficient third-party app to help you exit Recovery Mode. This process will install the latest iOS software for your device and restore it to factory settings.įix 3: Use Wondershare Dr.Fone to Exit Recovery Mode Here, choose "Restore" and follow the instructions on the screen to complete the process. Once connected, iTunes/Finder will detect your device in Recovery Mode automatically and provide options to "Update" or "Restore" your device. Ensure that your computer is running the most recent iteration of iTunes/Finder, then link your iPhone. Follow these steps to bring your iPhone back to normal: Furthermore, it has the capability to fix the underlying problems that result in the device being trapped in Recovery Mode. Restoring your iPhone using iTunes or Finder is a powerful method to address persistent issues. Let go of both buttons When the Apple logo appears on the device screen.įix 2: Restore the iPhone Using iTunes/Finder Instructions: To force restart your iPhone, press and keep holding the "Sleep/Wake" and "Home" buttons together. Release both buttons after the Apple logo is visible on the screen. Instructions: To commence, tap and hold on to the "Volume Down" and "Sleep/Wake" buttons. After the Apple logo appears on the screen, let go of the "Side" button. ![]() To proceed, simply press and hold the "Side" button. Afterward, replicate this procedure using the "Volume Down" button. Instructions: First, press and let go of the "Volume Up" button. Proceed with the relevant procedures according to your specific iPhone model: For iPhone 8 or Later Models These also include an iPhone stuck in Recovery Mode. Here are some effective methods to help you get your iPhone unstuck from Recovery Mode: Fix 1: Force Restart iPhoneĪ force restart is a straightforward method that can resolve various software-related issues. ![]() Nonetheless, there exist many dependable approaches to tackle this problem. Frequent occurrences of this issue can often result in feelings of frustration and uncertainty. How To Get the iPhone Stuck on Recovery Mode Fixedįinding your iPhone stuck in Recovery Mode can be an alarming experience. Let go of the buttons when the Recovery Mode screen appears on your iPhone. Instructions: When learning how to put the iPhone 6 in Recovery Mode, you need to press and hold the "Home" and "Sleep/Wake" buttons. Keep holding both until your iPhone transitions into Recovery Mode. Instructions: To learn how to put the iPhone 7 in Recovery Mode, press and hold the "Sleep/Wake" and "Volume Down" buttons. Finally, tap and hold the "Side" button until the Recovery Mode screen is visible on the device. Then, you need to repeat the process with the "Volume Down" key. Instructions: The first thing you need to do is press and release the "Volume Up" button. ![]() The following steps will guide you through the smooth activation of Recovery Mode: For iPhone 8 Series and Higher Models For example, learning how to put the iPhone 11 in Recovery Mode is different from the models released before the iPhone 8 series. However, the process differs depending on the iPhone model you own. It involves specific key combinations and precise timing. How To Enable Recovery Mode on Your iPhone Įnabling recovery mode on your iPhone is a standardized process.
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![]() List Price: 69.99 List Price: 69.99 69.99. Designed with convenience and portability in mind, these outdoor lawn chairs are built with lightweight aluminum frame and then stabilized with steel rods for added stability. ![]() The mods are somewhat flexible with the rules as long as the OP explains in the comments. Lawn Chair USA Folding Aluminum Webbed Chair for Camping, Sports, and Beach Classic - Red and White with White Arms. Vintage Wood Slat Aluminum Folding Lawn Chair Mid Century Modern. Zero Gravity Recliner Deck Patio Beach Chair Black. Textilene Folding Outdoor Lounge Chair Patio Dining Chairs Sling Lawn Chairs with Adjustable High Backrest (Set of 2) Add to Cart. Web 1960 Vintage Aluminum Folding Lawn low profile Beach Chair. Please remember to abide by Reddiquette Get free shipping on qualified Folding, Aluminum Patio Chairs products or Buy Online Pick Up in Store today in the Outdoors Department.Vintage Telescope Furniture Aluminum Hardwood Webbed Folding Lawn Chair USA Made. To make it easier for the community to help, also include your budget (if any) and what country you are buying in.Ħ please be descriptive with your posting, posts must include the products brand, years owned or date of purchase, circa the decade is acceptable on items older than 1990Ĩ /r/BuyItForLife is not a place to advertise your business or sell your product. Vintage Aluminum Lawn Chair Re-Web 2 Packs Green 2 Packs Brown 39ft per Pack. Requests Must be flaired with the request flair and if you are satisfied with the answers please mark the post as such.Ģb be sure to first use the search bar and check the sidebar before making a request. Products that are well-made and durable (even if they won't last a lifetime) are accepted.Ģa Requests are posts where you are looking for help/recommendations on a certain type of a product or Opinions on a certain item. Chair is 35" tall with a 20-3/4"Wx15-1/2"L seat and 21-1/2"H back weighs 4.2 lbs.For practical, durable and quality made products that are made to last.ġ This is a subreddit emphasizing products that are Durable, Practical, Proven, and Made-to-Last. Lawn Chair USA is the leading provider of folding lawn chairs, and replacement webbing kits. Web Strap Patio Chair - Room Essentials Room Essentials Only at target ¬.Higher back and wider seat (the seat is 2" wider than our Deluxe Folding Webbed Chair (#67014)).More Buying Choices 51. Best of all, the chair folds up for easy storage and transport, so you'll always have the best seat in the house. 4-Position Folding Web Lawn Chair Beach Lounger, Blue/White. But even the most well-built chairs will eventually need repairing. The best of todays outdoor furniture is incredibly durable and will provide years of comfortable use. The woven webbed seat and back offer comfortable support. Frost King Aluminum Chair Re-Webbing Clips. The classic woven webbed chair is constructed with a lightweight yet sturdy aluminum frame and features a steel support bar and steel rivets-so you can be confident that it will hold up for years of enjoyment. This extra-wide web chair is designed for your ultimate comfort and is perfect for barbeques, picnics, and days spent at the beach. If you are applying for a big organization where it’s expected that many applicants will apply, it’s most likely that they’ll use ATS, and then you should pick a resume suitable to pass ATS. Size of the Company– The size of the company also matters.Industry– After that consider your industry, are you applying to a creative field or something like accounting where a more toned-down resume would be appreciated.Your Current Situation – Start by picking the right resume format (Chronological resume, Functional, or Combination resume) based on your current situation.What Is The Best Microsoft Word Resume Template? All you need to do is download Word resume templates from our site, and you’re good to go! Easy to Edit – Powered by Microsoft Word’s robust editing capabilities, our templates make personalizing your resume a breeze.Our resume templates for Microsoft Word are designed by experts, ensuring they look professional and are easy to navigate. Professional Design – Aesthetics matter, especially when you’re looking to impress potential employers. ![]() Hence, we offer a wide variety of resume templates for Word, ensuring there’s something for everyone. 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![]() Smasher (10) - Destroy all of the opponent's equipment. Sharpened Teeth (20) - Maximize a style's level. Scorpion's Sting (10) - Win a battle with Critical Finish. Reversal Wizard (20) - Win 20 times with low HP. Repel All Blades (30) - Win perfect 30 times. Quick Strike (10) - Perform 5 First Attacks in a row in Arcade. Pursuer of the Secret (10) - Clear STORY MODE on difficulty: NORMAL. Phoenix (10) - Win with all equipment destroyed. Observer of Souls (30) - Collect all illustrations in Art Gallery. Numeric God (20) - Measure the two passages of time and win. Never Ending Advance (20) - Descend 20 floors in TOWER OF LOST SOULS. Mystery of the Swords (20) - Clear STORY MODE on difficulty: HARD. May the Force be with You (20) - Clear STORY MODE with Yoda. Mad Destroyer (20) - Perform 100 Soul Crushes. Lost in the Moment (30) - Perform 20 Just Impacts. Looter of the Battlefield (20) - Collect all accessories. Like a Flowing Stream (20) - Perform 200 Impacts. Legendary Hidden Treasures (20) - Acquire over 30 treasures in TOWER OF LOST SOULS. Iron Hammer (10) - Land an attack on a taunting opponent. Hero on the Battlefield (20) - Clear ARCADE MODE with over 450,000 points. Hero King (30) - Level up to 20 (Online). Gladiator (20) - Win consecutive Ranked Matches (Online). Gathering of the Best (20) - Complete CHAIN OF SOULS. with an Unblockable Attack.Įncounter with the Unknown (10) - Fight against Yoda.Įndure 1,000 (30) - Guard 1,000 times against attacks.Įngraved into History (30) - Fight 100 times (Online).Įqual Skill and Power (20) - Use all skill points and set up 4 skills.įirst Step as an Artist (5) - Customize a regular character. Siegfried Extra - Defeat Siegfried in Stage 5 of Story Mode.ġ0,000 Strikes of Proof (30) - Land 10,000 attacks.Ĭhosen by History (5) - Create a custom character.ĭeath on the Battlefield (30) - Perform 100 Critical Finishes.ĭistance will not Betray (20) - Reach over 10,000 meters in total movement distance in battle.ĭivine Punishment (20) - K.O. Nightmare Extra - Defeat Nightmare in Stage 5 of Story Mode. Art Gallery Illustrations - Purchase for 1000-2000 gold.Ĭhain of Souls Icons - Defeat and unlock any character in the Story Mode.Ĭharacter Endings - Complete Story Mode with any character. ![]() ![]() Add the javaws.jar to your project buildpath (the file is located here: "JAVA_PATH\jre1.8.0_VERSION\lib\javaws.jar", where "JAVA_PATH" is where your java is installed ("C:\Program Files\Java", or "C:\Program Files (x86)\Java" for 64-bit computers, is the default path on Windows) and "VERSION" is the java version you have installed.We also have a Discord server Click here to join n. We have a FAQ (Q&A) section If you are interested you can click here n. Change the JRE version from JRE1_6 to JRE1_8 (Right click on "Client" -> Build Path -> Libraries -> Scroll to the bottom -> Double click "JRE System" -> Choose a JRE1_8 -> Finish -> Apply and Close) Minecraft Base Hacked Client 1.8.8 (with Optifine) n Welcome n. ![]() Optionally enable the tags (Window -> Preferences -> Java -> Code Style -> Formatter -> Edit -> Expand "Off/On tags" -> Tick the "Enable Off/On tags" -> Change the Profile Name (or you will not be able to save) -> OK -> Apply and Close).Store Home Ghostclients Discord Roblox Scripts Download. Uncover powerful clients with exclusive features, and stay ahead with our continually refreshed selection tailored for. Optionally delete the Server project (it is safe to do so) Discover top Minecraft hacked clients for an unbeatable gaming experience in.Launch Eclipse into the "eclipse" folder (that is inside the folder you decompiled the MCP in) as workspace.Copy the folder "minecraft" from the project's ZIP into the "src" folder.Delete the "minecraft" folder, if any is present.When the message "= Decompiling client using fernflower =" pops up inside of the terminal you can close the window (there is no need to actually decompile the MCP) Wurst is one of the few hacked clients that are optimized for both Griefing and PVP.Double click the "decompile" bat file inside of the folder and wait for the assets to be copied.Click here to view the hacked client I am working on currently (BETA) About. I will NOT be updating this project, because that is written in Java JDK 14, rather than Java JDK 1.8. Unzip the MCP into a folder and enter it This is a 1.8.8 hacked client made for Minecraft.Download Minecraft Coders Pack 918 (1.8.8) (or MCP) Unleash the full potential of Minecraft with the Wurst Client - featuring over 200 cheats, hacks, commands, and utility mods.This version contains my original client base, Click GUI, and HUD design. Note: the instructions in italic apply ONLY to Eclipse, if you have a different IDE, search how to set the project up on Google An old 1.8.8 hacked client by Shotbowxd, dotexe and Kansio. So you could grab a video and block it before the first upload attempt. Each time this happens, the companies have to spot it and create a new fingerprint."Ĭomparing the livestreamed New Zealand shooting video to content from ISIS, Stamos told ABC News, "The ISIS problem was partially cracked because the companies infiltrated all their Telegram channels. "Perceptual hashes and audio fingerprinting are both fragile, and a lot of these same kinds of people have experience beating them to upload copyrighted content. ![]() ![]() YouTube and Facebook/Instagram have perceptual hashing built during the ISIS crisis to deal with this and teams looking," Stamos tweeted. "So now we have tens of millions of consumers wanting something and tens of thousands of people willing to supply it, with the tech companies in between. Ma4.28pm Replay Latest in Video The gunman suspected of carrying out a mass shooting at a mosque in Christchurch, New Zealand has filmed the incident with a camera affixed to his head. He posted the FB Live link and mirrors to his manifesto right before, so thousands of people got copies in real-time," he tweeted. He also noted that the "shooter was an active member of a rather horrible online community (which I will not amplify) that encourages this kind of behavior. Port Arthur Part 2 (Police talking about the shooting and weapons.Stamos pointed out that the verboten nature of the offensive material made it a popular search on Google. Port Arthur Massacre Victoria Police Aftermath Part 1 Wiki This thread is archived New comments cannot be posted and votes cannot be cast comments sorted by Best Top New Controversial Q&A MattH665 Additional comment actions. Rio de Janeiro School Shooting Aftermath Wiki Kaotic is a great alternative to LiveLeak for those who miss viewing content in their uncensored form, as it contains a lot of problematic and disturbing videos. The New Zealand massacre video, which appeared to have been recorded with a GoPro helmet camera, was discussed even before it began on the fringe message board 8chan, an anonymous forum known for. No one reported New Zealand mosque shooting video while it was live, Facebook says - The first user report was made 12 minutes after the live feed ended. Suzano Aftermath Video (Plus Murder/Suicide Photos) El Paso Shooting Aftermath (Multiple Eyewitness Videos) Wiki Violations of these rules will result in a permanent ban. There were hundreds of people inside Masjid Al Noor and Linwood Masjid Mosques when a masked man started shooting. A gunman opened fire at two mosques in Christchurch, New Zealand, and multiple people are confirmed dead. Do not post false or misleading statements related to a mass killing. Warning: These photos are graphic in nature. No misinformation (and/or disinformation).Do not post personally identifying information. LiveLeak was a website known for hosting gory videos of excessive violence, assaults, terrorism, and more. No Personally Identifiable Information.Do not advertise for your own projects unless given permission by the moderators. Do not repeatedly make low effort posts or otherwise spam the subreddit. Bonde do Maluco gang member beheaded by rivals from Comando Vermelho in Brazil. Tlacos sicarios kick, shoot and burn rivals from La Familia Michoacana: video. Doing so violates our no glorification rule. From gory death videos, to gruesome graphic pictures, live executions, beheadings. Do not refer to the number of victims of a mass murder as a "high score".You must be mature and responsible when using this sub.Do not post content related to conspiracies around occurrences of mass killers. Do not post articles related to political causes such as for/against gun-control legislation, political affiliation, etc. Gifs without informational content will be rejected. No inappropriate humor, eg politically motivated or otherwise.Do not share links to the Christchurch or the Halle livestreams or ask for them in any way.This includes having profile pictures with references to mass murderers or offensive usernames. The purpose of this sub is to discuss the crimes, psychology, and motivations of people who have committed mass killings, not to glorify them. Do not glorify mass killers/mass murderers. A new, graphic video has emerged that shows the moment a plainclothes Capitol Police officer shot and killed Ashli Babbitt during the storming of the U.S.Individuals who attempt a mass murder are also allowed. A mass killer is defined as a single individual who commits a crime such that 3 or more individuals are killed in a short period of time, usually in the same physical space. Posts must reference mass killers/mass murderers - or "spree killers".You must be 18+ to participate in r/masskillers. ![]() And I'll use Lightroom when I wanna look at my archive of all the photos I've captured. And therefore, if I work with a lot of Adobe products, I might wanna end up using Bridge whenever I'm not doing my photographs. If I use Bridge though, I can see illustrations from Adobe Illustrator, I can see page layouts from InDesign, I can see PDF files, and other content that would be totally ignored by Adobe Lightroom. And that would be, Lightroom is only gonna show you images, that means photographs or things that are similar to photographs. But Bridge is gonna show files that Lightroom would ignore. Then, both Bridge and Lightroom can display the contents of a folder, and we're gonna use that to preview our images, so we can see nice, big previews before we end up opening them. So if you ever see me do something in a screen that I call Adobe Camera Raw, and you have Lightroom, you could do it there instead, because the names of the adjustment sliders will be identical. And, Adobe Lightroom has the same functionality as Adobe Camera Raw when it comes to adjusting pictures. ![]() So first off, Adobe Camera Raw is what we're gonna use to adjust images when we first open 'em up. But anyway, let's look at the difference between the two programs so you can get a sense for when might I use one versus the other. Cataloging means that if I end up viewing any images in Lightroom, those are images that it's gonna keep track of, so even if I don't have the originals with me later on, I can still view those images and organize them. Ould use would be Adobe Lightroom, and Lightroom is different than Bridge in that it's a cataloging program. Bridge comes with Photoshop, so if you have access to Photoshop, you should be able to download Bridge for free on Adobe's website or through the Creative Cloud app that you use to update Photoshop. Not in Photoshop itself, but in either Adobe Bridge or Adobe Lightroom. And I'm gonna do that in one of two programs. Now before we even really open Photoshop though, I wanna talk about where I'm gonna be viewing my images before I open them, 'cause I'll have to be able to compare multiple images and decide which one's worth opening. So, the main thing is, we're gonna learn the big picture before we get into the details of Photoshop. I'll show you how to do things like open files, save them, navigate around your document in the Photoshop interface. This is where, if you ever want to read throught a Photoshop technique or watch a video about Photoshop that's not an absolute beginning one, this will get you started. So now, let's get into an introduction to Photoshop. CO 2 has one carbon atom and two oxygen atoms.Oxygen (O) has an atomic mass of about 16.00 amu.Carbon (C) has an atomic mass of about 12.01 amu.Let's calculate the molar mass of carbon dioxide (CO 2): Add them together: add the results from step 3 to get the total molar mass of the compound.Calculate molar mass of each element: multiply the atomic mass of each element by the number of atoms of that element in the compound.The atomic mass is usually found on the periodic table and is given in atomic mass units (amu). Find atomic masses: look up the atomic masses of each element present in the compound.For example, water is H 2O, meaning it contains two hydrogen atoms and one oxygen atom. Identify the compound: write down the chemical formula of the compound.One mole contains exactly 6.022 ×10 23 particles (Avogadro's number) Mole is a standard scientific unit for measuring large quantities of very small entities such as atoms and molecules.The given mass of K (4. Molar mass ( molar weight) is the mass of one mole of a substance and is expressed in g/mol. Referring to the periodic table, the atomic mass of K is 39.10 amu, and so its molar mass is 39.10 g/mol.(1 u is equal to 1/12 the mass of one atom of carbon-12) Molecular mass ( molecular weight) is the mass of one molecule of a substance and is expressed in the unified atomic mass units (u).To calculate molecular weight of a chemical compound enter it's formula, specify its isotope mass number after each element in square brackets.Įxamples of molecular weight computations: Interactive periodic table with up-to-date element property data collected from authoritative sources. Molar mass calculator also displays common compound name, Hill formula, elemental composition, mass percent composition, atomic percent compositions and allows to convert from weight to number of moles and vice versa.Ĭomputing molecular weight (molecular mass) Functional groups: D, Ph, Me, Et, Bu, AcAc, For, Tos, Bz, TMS, tBu, Bzl, Bn, DmgĮxamples of molar mass computations: NaCl, Ca(OH)2, K4, CuSO4*5H2O, nitric acid, potassium permanganate, ethanol, fructose, caffeine, water.The elements in these groups form the d-block, and the partially-filled d-orbitals allow these metals form colourful compounds. They can form cations of different charges (depending on the metal), with the most common being +2, +3, and +4. We have defined a mole based on the isotopic atomic mass of carbon-12. Capitalize the first letter in chemical symbol and use lower case for the remaining letters: Ca, Fe, Mg, Mn, S, O, H, C, N, Na, K, Cl, Al. The elements in groups 3-12 are called the transition metals. The atomic mass of an element is the relative average of all of the naturally occurring isotopes of that element and atomic mass is the number that appears in the periodic table. Uranium is a dense, silvery-white metal that tarnishes to a dark gray or black color when exposed to air.Ĭomputing molar mass (molar weight)To calculate molar mass of a chemical compound enter its formula and click 'Compute'. Focus on blending the edges to the existing wall first, then smooth out the center of the patch.Īs you could see, patching missing plaster follows a similar path as the original installation. After the second coat of joint compound has dried, blend to the old plaster using 220 grit sandpaper. The idea is to build up a large enough area to allow it to be blended to the existing wall without creating a noticeable high spot. Finish the patch with two coats of joint compound, allowing the first to dry before smoothing on the second. After the veneer plaster sets, knock down any high spots with sandpaper, being careful not to sand through to the mesh. Setting plaster hardens quickly, allowing for the next steps to happen in short order. Using a setting-type veneer plaster, use a taping knife to trowel a thin layer over the mesh tape and surrounding wall. This step will reduce the chances of any cracking that happens in the base layers from telegraphing through to the finished surface. Go over the joint between the new base coat and the old plaster with nylon mesh tape. Essentially a water-based glue, the bonding agent ensures good adhesion between the old work and the new. When the base coat is dry, brush a plaster bonding agent over it and the surrounding old plaster. Once the base coat is flush with the surface of the remaining old plaster, smooth it well with the trowel to minimize the need for sanding. Once the base coat keyed to the lath, use the flat trowel to fill the area with more base coat. ![]() Nylon fibers added in while mixing the base coat add strength. Use a stiff mix so that it won’t sag before it sets. The plaster that goes between the lath is called “keys”, and it locks the material in place. With all the loose old plaster removed, use a flat trowel to coat the exposed lath with plaster base coat, being sure to work the material into the spaces between the lath. In this video, This Old House host Kevin O’Conner shows you how to patch holes in plaster walls. ![]() If the lath behind the old plaster is sound, patching is a matter of troweling on layers of mud. How to Patch Plaster Walls if the Lath is in Good Condition The patch is now ready to prime and paint. On the third day, spread another coat, and after it dries, smooth it gently with a damp sponge. Gently scrape it smooth and apply a second coat. Using a 6-inch taping knife, scrape the patch area smooth, and cover the patch with a thin layer of ready-mix joint compound. How to Repair Lath and Plaster in 6 Steps 1. It’s a common practice to replace missing plaster with a piece of blue board (a wall board made to be coated with plaster), but troweling on base coat is faster. Finish coats came after the base had dried. Several coats were applied, the first keying into the spaces between the lath to make a stable base. Into the 20 th century, plaster was applied over wood lath spaced half an inch or so apart over the studs or ceiling joists. If the lath is in good condition and you need to repair holes, patching is a matter of troweling on layers of mud. ![]() Don’t use so-called patching plaster sold at home centers, it’s much harder than the wall’s original plaster, and it sets in the blink of an eye. It’s better to use a softer, slower-setting lime-based plaster, like the one developed for Big Wally’s line of plaster-repair products, takes about an hour to set, isn’t prone to cracking or delaminating, and needs no sanding, which keeps dust to a minimum. How Do You Repair a Hole in Lath and Plaster Walls?įor lath and plaster repair, it’s important to use good techniques and the right materials. First, you’ll repair the lath and then patch the hole. If you’re dealing with damaged lath and plaster walls-for example gaping holes in the wall because of electrical work-here are techniques you can use to repair them. This is the best way to solve quadratic problems. This worksheet will teach you how to solve quadratic problems using the quadratic formula. ![]() Solving Quadratic Equations Using All Methods Worksheet Kuta - Quadratic equations can be solved with this Quadratic Worksheet. Find what you need about Solving Quadratic Equations Using All Methods Worksheet Kuta down below. So x, adding 10 to both sides of this, you have x is equal to 10, is the solution to this quadratic equation, up here.If you are trying to find Solving Quadratic Equations Using All Methods Worksheet Kuta, you are arriving at the right site. So, we would say, that x minusġ0 needs to be equal to zero. You're taking the positive or negative square root, or both of them. You could think of this as taking the square root of both sides. The only way that the left-hand side is going to be equal to zero, is if x minus 10 is equal to zero. I could rewrite thisĪs x minus 10, squared, is equal to zero. So all I've done is I'veįactored this quadratic. X plus negative 10, and that is going to be equal to zero. Left side of this equation as, we can rewrite it as, x, and I'll write it this way at first, x plus negative 10, times, x plus negative 10 again. Times, I'll write it this way, negative 10, times negative 10, and this is negative 10, plus negative 10. But the one that might jump out at you is this is negative 10, Two times negative 50, or negative four times negative 25. I multiply it, I get 100? Well you could try to factor 100. When I add them together I get negative 20, when Since their sum is negative, well they both must both be negative. They're either both going to be positive, or their both going to be negative, since we know that we They're both going to have the same sign. If we take their sum, we get negative 20? Well since their product is positive, we know that they have the same sign. That if we take their product, we get positive 100, and That needs to be a timesī, right over there. And then a times b, right over here, that needs to be equal A plus b, needs to beĮqual to negative 20. See if we can factor this into an x plus a, and an x plus b. ![]() That is going to be equal to, that equals to x squared, plus a, plus b, x, plus a b. The way we think about this, and we've done it multiple times, if we have something, if we have x plus a, times x plus b, and this is So let's see if we can factor, if we can express this quadratic as a product of two expressions. Going to be left with x squared, and then negative 120, divided by six. If I do the same thing to both sides of the equation, then the equality still holds. If we divide the left sideīy six, divide by six, divide by six, divide by six. Of this equation by six, I'm still going to have It looks like actually all of these terms are divisible by six. The second degree term, on the x-squared term. To do is see if I can get a coefficient of one, on I might be able to deal with, and I might be able to factor, Alright, let's work through this together. ![]() Like always, pause this video, and see if you can solve for x, if you could find the x values X squared, minus 120 x, plus 600, equals zero. So don't feel bad that you couldn't factor by grouping-this isn't a good victim for that method. That means there is a factor of (h - 8), leaving h² + 12h + 84 as the other (quadratic) factor Now, with your h³ + 4h² - 12h - 672, if you graph this polynomial, there seem to be one positive root and two imaginary roots - the positive root is 8 So the factors would be (h + 4) and (h²- 12) and the roots would be -4, +2sqrt(3) and -2sqrt(3) So, possibly you wrote the example down wrong? Or if you made it up, you would have to have something like - 48 as the final term. ![]() (h + 4) is not actually a factor of this polynomial, but it would have to be in order for there to be a way for us to find it again in the second set of terms. So if you factor out the h², you get (h + 4) as you said.Īfter that, there is a problem with this method in this example. The tip-off is the 4 terms and the leading exponent of 3. This looks like an example of factoring by grouping. |
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