document.write( "Question 338326: Solve
\n" ); document.write( "2y(y+8)=7(y+8)
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Algebra.Com's Answer #242970 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"2y%28y%2B8%29=7%28y%2B8%29\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"2y%5E2%2B16y=7y%2B56\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"2y%5E2%2B16y-7y-56=0\" Get every term to the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"2y%5E2%2B9y-56=0\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"2y%5E2%2B9y-56\" is in the form of \"Ay%5E2%2BBy%2BC\" where \"A=2\", \"B=9\", and \"C=-56\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for \"y\":\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29\" Start with the quadratic formula\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28-%289%29+%2B-+sqrt%28+%289%29%5E2-4%282%29%28-56%29+%29%29%2F%282%282%29%29\" Plug in \"A=2\", \"B=9\", and \"C=-56\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28-9+%2B-+sqrt%28+81-4%282%29%28-56%29+%29%29%2F%282%282%29%29\" Square \"9\" to get \"81\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28-9+%2B-+sqrt%28+81--448+%29%29%2F%282%282%29%29\" Multiply \"4%282%29%28-56%29\" to get \"-448\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28-9+%2B-+sqrt%28+81%2B448+%29%29%2F%282%282%29%29\" Rewrite \"sqrt%2881--448%29\" as \"sqrt%2881%2B448%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28-9+%2B-+sqrt%28+529+%29%29%2F%282%282%29%29\" Add \"81\" to \"448\" to get \"529\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28-9+%2B-+sqrt%28+529+%29%29%2F%284%29\" Multiply \"2\" and \"2\" to get \"4\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28-9+%2B-+23%29%2F%284%29\" Take the square root of \"529\" to get \"23\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28-9+%2B+23%29%2F%284%29\" or \"y+=+%28-9+-+23%29%2F%284%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2814%29%2F%284%29\" or \"y+=++%28-32%29%2F%284%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+7%2F2\" or \"y+=+-8\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"y+=+7%2F2\" or \"y+=+-8\"\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, feel free to check out my tutoring website. \r
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\n" ); document.write( "\n" ); document.write( "Jim
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