document.write( "Question 138581: Solve: (x/x+2)- (4/x-4)=(1/2) \n" ); document.write( "
Algebra.Com's Answer #101159 by edjones(8007)\"\" \"About 
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(x/x+2)-(4/x-4)=(1/2)
\n" ); document.write( "2x(x-4)-8(x+2)=(x+2)(x-4) Multiply each side by 2(x-4)(x+2) to eliminate fractions.
\n" ); document.write( "2x^2-8x-8x-16=x^2-2x-8
\n" ); document.write( "x^2-14x-8=0 Subtract the left side from the right.
\n" ); document.write( "x^2-14x =8
\n" ); document.write( "x^2-14x+49=8+49 complete the square.
\n" ); document.write( "(x-7)^2=57
\n" ); document.write( "x-7=+-sqrt(57) sqrt of each side.
\n" ); document.write( "x=7+sqrt(57), x=7-sqrt(57)
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