document.write( "Question 845482: 6/x+1 - 7/x-2 = - 3 /1-x \n" ); document.write( "

Algebra.Com's Answer #509310 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"6%2F%28x%2B1%29+-+7%2F%28x-2%29+=+-+3+%2F%281-x%29\"$
\n" ); document.write( " $\"6%2F%28x%2B1%29+-+7%2F%28x-2%29+=+3+%2F%28x-1%29\"$
\n" ); document.write( "Multiply both sides by $\"%28x%2B1%29%28x-2%29%28x-1%29\"$
\n" ); document.write( " $\"6%28x-2%29%28x-1%29-7%28x%2B1%29%28x-1%29=3%28x%2B1%29%28x-2%29\"$
\n" ); document.write( " $\"%28x-1%29%286x-12-7x-7%29=3%28x%2B1%29%28x-2%29\"$
\n" ); document.write( " $\"%28x-1%29%28-x-19%29=3%28x%5E2-x-2%29\"$
\n" ); document.write( " $\"-%28x-1%29%28x%2B19%29=3%28x%5E2-x-2%29\"$
\n" ); document.write( " $\"-%28x%5E2%2B18x-19%29=3x%5E2-3x-6\"$
\n" ); document.write( " $\"-x%5E2-18x%2B19=3x%5E2-3x-6\"$
\n" ); document.write( " $\"4x%5E2%2B15x-25=0\"$
\n" ); document.write( " $\"%28x%2B5%29%284x-5%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x%2B5=0\"$
\n" ); document.write( " $\"x=-5\"$
\n" ); document.write( "and
\n" ); document.write( " $\"4x-5=0\"$
\n" ); document.write( " $\"4x=5\"$
\n" ); document.write( " $\"x=5%2F4\"$
\n" ); document.write( " \n" ); document.write( "

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