document.write( "Question 95619: Solve and check for x.
\n" ); document.write( "\"5%2F%28x%2B6%29%2B2%2F%28x%5E2%2B7x%2B6%29=3%2F%28x%2B1%29\"
\n" ); document.write( "Could someone show me how to solve this equation, Please.
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Algebra.Com's Answer #69681 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve and check for x.
\n" ); document.write( "\"5%2F%28x%2B6%29%2B2%2F%28x%5E2%2B7x%2B6%29=3%2F%28x%2B1%29\"
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\n" ); document.write( "The quadratic in the denominator will factor:
\n" ); document.write( "\"5%2F%28x%2B6%29%2B2%2F%28%28x%2B6%29%28x%2B1%29%29=+3%2F%28x%2B1%29\"
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\n" ); document.write( "The common denominator is (x+6)(x+1), multiply by that and we have:
\n" ); document.write( "5(x+1) + 2 = 3(x+6)
\n" ); document.write( "5x + 5 + 2 = 3x + 18
\n" ); document.write( "5x + 7 = 3x + 18
\n" ); document.write( "5x - 3x = 18 - 7
\n" ); document.write( "2x = 11
\n" ); document.write( "x = 11/2
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\n" ); document.write( "Check using x = 5.5:
\n" ); document.write( "Solve and check for x.
\n" ); document.write( "\"5%2F%285.5%2B6%29%2B2%2F%285.5%5E2%2B7%285.5%29%2B6%29=3%2F%285.5%2B1%29\"
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\n" ); document.write( "\"5%2F11.5%2B2%2F%2830.25%2B38.5%2B6%29=3%2F6.5\"
\n" ); document.write( ":
\n" ); document.write( "\"5%2F11.5+%2B+2%2F74.75+=+3%2F6.5\"
\n" ); document.write( ":
\n" ); document.write( ".4348 + .02676 = .46154
\n" ); document.write( " .46156 ~ .46154
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