document.write( "Question 336187: x(x+5)=14 \n" ); document.write( "
Algebra.Com's Answer #241064 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"x%28x%2B5%29=14\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B5x=14\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B5x-14=0\" Subtract 14 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"x%5E2%2B5x-14\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=1\", \"B=5\", and \"C=-14\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for \"x\":\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%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( "\"x+=+%28-%285%29+%2B-+sqrt%28+%285%29%5E2-4%281%29%28-14%29+%29%29%2F%282%281%29%29\" Plug in \"A=1\", \"B=5\", and \"C=-14\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-5+%2B-+sqrt%28+25-4%281%29%28-14%29+%29%29%2F%282%281%29%29\" Square \"5\" to get \"25\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-5+%2B-+sqrt%28+25--56+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%28-14%29\" to get \"-56\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-5+%2B-+sqrt%28+25%2B56+%29%29%2F%282%281%29%29\" Rewrite \"sqrt%2825--56%29\" as \"sqrt%2825%2B56%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-5+%2B-+sqrt%28+81+%29%29%2F%282%281%29%29\" Add \"25\" to \"56\" to get \"81\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-5+%2B-+sqrt%28+81+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-5+%2B-+9%29%2F%282%29\" Take the square root of \"81\" to get \"9\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-5+%2B+9%29%2F%282%29\" or \"x+=+%28-5+-+9%29%2F%282%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284%29%2F%282%29\" or \"x+=++%28-14%29%2F%282%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+2\" or \"x+=+-7\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+2\" or \"x+=+-7\" \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 website. \r
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\n" ); document.write( "\n" ); document.write( "Jim
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