document.write( "Question 109156: This problem is not in the book.
\n" ); document.write( "15/x - 15/x+2 =2 Can you help me solve this? Thanks Rhee \n" ); document.write( "
Algebra.Com's Answer #79610 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
15/x - 15/x+2 = 2
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\n" ); document.write( "\"15%2Fx\" - \"15%2F%28%28x%2B2%29%29\" = 2
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\n" ); document.write( "The common denominator will be x(x+2)
\n" ); document.write( "Multiply equation by that:
\n" ); document.write( "x(x+2)*\"15%2Fx\" - x(x+2)*\"15%2F%28%28x%2B2%29%29\" = x(x+2) * 2
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\n" ); document.write( "Cancel out the denominators and you have:
\n" ); document.write( "15(x+2) - 15x = 2x(x+2)
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\n" ); document.write( "15x + 30 - 15x = 2x^2 + 4x
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\n" ); document.write( "The 15x's cancel; subtract 30 from both sides, you have a quadratic equation
\n" ); document.write( " 2x^2 + 4x - 30 = 0
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\n" ); document.write( "Factor this to:
\n" ); document.write( "(2x - 6)(x + 5) = 0
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\n" ); document.write( "Two solutions:
\n" ); document.write( "2x = +6
\n" ); document.write( "x = 6/2
\n" ); document.write( "x = 3
\n" ); document.write( "and
\n" ); document.write( "x = - 5
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\n" ); document.write( "Check both solutions in the original equation:
\n" ); document.write( "x = 3
\n" ); document.write( "\"15%2F3\" - \"15%2F%28%283%2B2%29%29\" = 2
\n" ); document.write( " 5 - 3 = 2; a good solution
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\n" ); document.write( "\"15%2F%28-5%29\" - \"15%2F%28%28-5%2B2%29%29\" = 2
\n" ); document.write( " -3 - (-5) = 2; also a good solution
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\n" ); document.write( "Did this help you understand this? Any questions? \n" ); document.write( "
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