document.write( "Question 701387: can you show me step by step how to solve the following equation; (x+1)/(x^2+2x)-(x+4)/(x^2+x)=(-3)/(x^2+3x+2) \n" ); document.write( "
Algebra.Com's Answer #432472 by ankor@dixie-net.com(22740)\"\" \"About 
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\n" ); document.write( "Factor the denominators
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\n" ); document.write( "Multiply by common denominator x(x+1)(x+2), Cancel the denominaors, results:
\n" ); document.write( "(x+1)(x+1) - (x+2)(x+4) = -3x
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + 2x +1 - (x^2 + 6x + 8) = -3x
\n" ); document.write( "remove the brackets change the signs
\n" ); document.write( "x^2 + 2x +1 - x^2 - 6x - 8 = -3x
\n" ); document.write( "Combine like terms
\n" ); document.write( "x^2 - x^2 + 2x - 6x + 3x + 1 - 8 = 0
\n" ); document.write( "-x - 7 = 0
\n" ); document.write( "-x = +7
\n" ); document.write( "x = -7
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\n" ); document.write( "You can confirms this by replacing x with -7 in the original problems\r
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