document.write( "Question 558801: 2x/(x^2 -16)-2/(x-4)=4/(x+4) \n" ); document.write( "

Algebra.Com's Answer #363208 by Maths68(1474) $\"\"$ $\"About$

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$\"2x%2F%28x%5E2-16%29-2%2F%28x-4%29=4%2F%28x%2B4%29\"$
\n" ); document.write( " $\"2x%2F%28x%5E2-16%29=4%2F%28x%2B4%29%2B2%2F%28x-4%29\"$
\n" ); document.write( "Take LCD on L.H.S
\n" ); document.write( " $\"2x%2F%28x%5E2-16%29=%284%28x-4%29%2B2%28x%2B4%29%29%2F%28x%2B4%29%28x-4%29\"$
\n" ); document.write( " $\"2x%2F%28x%5E2-16%29=%284%28x-4%29%2B2%28x%2B4%29%29%2F%28x%5E2-4x%2B4x-16%29\"$
\n" ); document.write( " $\"2x%2F%28x%5E2-16%29=%284x-16%2B2x%2B8%29%2F%28x%5E2-cross%284x%29%2Bcross%284x%29-16%29\"$
\n" ); document.write( " $\"2x%2F%28x%5E2-16%29=%286x-8%29%2F%28x%5E2-16%29\"$
\n" ); document.write( " $\"2x%2Fcross%28x%5E2-16%29=%286x-8%29%2Fcross%28x%5E2-16%29\"$
\n" ); document.write( " $\"2x=6x-8\"$
\n" ); document.write( " $\"2x-6x=-8\"$
\n" ); document.write( " $\"-4x=-8\"$
\n" ); document.write( "Divide by -4 both sides of above equation
\n" ); document.write( " $\"-4x%2F-4=-8%2F-4\"$
\n" ); document.write( " $\"cross%28-4x%29%2Fcross%28-4%29=cross%28-8%29%2Fcross%28-4%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=2\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "=====
\n" ); document.write( " $\"2x%2F%28x%5E2-16%29-2%2F%28x-4%29=4%2F%28x%2B4%29\"$
\n" ); document.write( "Put x=2
\n" ); document.write( " $\"2%282%29%2F%28%282%29%5E2-16%29-2%2F%282-4%29=4%2F%282%2B4%29\"$
\n" ); document.write( " $\"4%2F%284-16%29-2%2F-2=4%2F6\"$
\n" ); document.write( " $\"%284%2F-12%29-%282%2F-2%29=4%2F6\"$
\n" ); document.write( "

\n" ); document.write( " $\"%28-1%2F3%29%2B1=2%2F3\"$
\n" ); document.write( " $\"%28-1%2B3%29%2F3=2%2F3\"$
\n" ); document.write( " $\"2%2F3=2%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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