document.write( "Question 321677: 36 over x^2-36 + 8 over x+6 = 2 over x-6 solve \n" ); document.write( "

Algebra.Com's Answer #230336 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E2-36=%28x-6%29%28x%2B6%29\"$
\n" ); document.write( "Use the common denominator, $\"x%5E2-36\"$ ,
\n" ); document.write( " $\"36+%2F%28x%5E2-36%29+%2B+8%2F%28x%2B6%29+=+2%2F%28x-6%29\"$
\n" ); document.write( "

\n" ); document.write( " $\"36%2B8%28x-6%29-2%28x%2B6%29%2F%28%28x-6%29%28x%2B6%29%29=0\"$
\n" ); document.write( "The fraction can only equal zero if the numerator equals zero.
\n" ); document.write( " $\"36%2B8%28x-6%29-2%28x%2B6%29=0\"$
\n" ); document.write( " $\"36%2B8x-48-2x-12=0\"$
\n" ); document.write( " $\"6x-24=0\"$
\n" ); document.write( " $\"6x=24\"$
\n" ); document.write( " $\"highlight%28x=4%29\"$ \n" ); document.write( "

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