document.write( "Question 139262: Please help me solve this equation 3/x + 15/x-20= 3x-9/x-20. The / represent fractions. The answers are x=4, and x=5. I need to know how to work the problem. Any help is greatly appreciated. \n" ); document.write( "

Algebra.Com's Answer #101558 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
solve this equation:
\n" ); document.write( ":
\n" ); document.write( " $\"3%2Fx\"$ + $\"15%2F%28%28x-20%29%29\"$ = $\"%28%283x-9%29%29%2F%28%28x-20%29%29\"$
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\n" ); document.write( "Multiply equation by the common denominator, namely x(x-20); results:
\n" ); document.write( "3(x-20) + 15x = x(3x-9)
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\n" ); document.write( "3x - 60 + 15x = 3x^2 - 9x
\n" ); document.write( ":
\n" ); document.write( "18x - 60 = 3x^2 - 9x
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\n" ); document.write( "0 = 3x^2 - 9x - 18x + 60
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\n" ); document.write( "0 = 3x^2 - 27x + 60; a quadratic equation
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\n" ); document.write( "Simplify, divide equation by 3:
\n" ); document.write( "x^2 - 9x + 20 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(x-4)(x-5) = 0
\n" ); document.write( ":
\n" ); document.write( "x = +4 and x =+5
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\n" ); document.write( ":
\n" ); document.write( "Do you think you can do this now? \n" ); document.write( "

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