document.write( "Question 907734: Solve the following:
\n" ); document.write( " $\"%283x%2F%28x%5E2%2B5x%2B6%29%29=%285x%2F%28x%5E2%2B2x-3%29%29-%282%2F%28x%5E2%2Bx-2%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "I know the LCD is (x+3)(x+2)(x-1)
\n" ); document.write( "But the answer I came up with is 2x^2 + 11x +6. \n" ); document.write( "

Algebra.Com's Answer #550528 by KMST(5348) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%283x%2F%28x%5E2%2B5x%2B6%29%29=%285x%2F%28x%5E2%2B2x-3%29%29-%282%2F%28x%5E2%2Bx-2%29%29\"$
\n" ); document.write( "Multiplying both sides of the equal sign times $\"%28x%2B3%29%28x%2B2%29%28x-1%29\"$ ,
\n" ); document.write( "you get an equivalent equation, except that you may get some extraneous solution(s) that would make the LCD and some denominator equal to zero.
\n" ); document.write( "The equivalent equation and solution follow.
\n" ); document.write( " $\"3x%28x-1%29=5x%28x%2B2%29-2%28x%2B3%29\"$
\n" ); document.write( " $\"3x%5E2-3x=5x%5E2%2B10x-2x-6\"$
\n" ); document.write( " $\"3x%5E2-3x=5x%5E2%2B8x-6\"$
\n" ); document.write( " $\"2x%5E2%2B11x-6=0\"$
\n" ); document.write( "The polynomial on the left can be factored to get
\n" ); document.write( " $\"%282x-1%29%28x%2B6%29=0\"$
\n" ); document.write( "So either $\"2x-1=0\"$ ---> $\"highlight%28x=1%2F2%29\"$ ,
\n" ); document.write( "or $\"x%2B6=0\"$ ---> $\"highlight%28x=-6%29\"$ .
\n" ); document.write( "Both answers are valid since they do not make any denominator equal to zero. \n" ); document.write( "

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