document.write( "Question 410568: help me solve (6/x-2)-(3/x)=(-5/x-4) \n" ); document.write( "

Algebra.Com's Answer #288683 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+%286%2Fx-2%29-%283%2Fx%29=%28-5%2Fx-4%29\"$
\n" ); document.write( "Multiply both sides by $\"x%2A%28x-2%29%2A%28x-4%29\"$
\n" ); document.write( " $\"6%2Ax%2A%28x-4%29+-+3%2A%28x+-+2%29%2A%28x+-+4%29+=+%28-5%29%2Ax%2A%28x+-+2%29\"$
\n" ); document.write( " $\"6x%5E2+-+24x+-+3%2A%28x%5E2+-+2x+-+4x+%2B+8%29+=+-5x%5E2+%2B+10x\"$
\n" ); document.write( " $\"+6x%5E2+-+24x+-+3x%5E2+%2B+6x+%2B+12x+-+24+=+-5x%5E2+%2B+10x\"$
\n" ); document.write( " $\"3x%5E2+-+6x+-+24+=+-5x%5E2+%2B+10x\"$
\n" ); document.write( " $\"8x%5E2+-+16x+-+24+=+0\"$
\n" ); document.write( " $\"x%5E2+-+2x+-+3+=+0\"$
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"a+=+1\"$
\n" ); document.write( " $\"b+=+-2\"$
\n" ); document.write( " $\"c+=+-3\"$
\n" ); document.write( " $\"x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A%28-3%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%28+2+%2B-+sqrt%28+4+%2B+12+%29%29%2F+2+\"$
\n" ); document.write( " $\"x+=+%28+2+%2B+4%29%2F+2+\"$
\n" ); document.write( " $\"x+=+3\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x+=+%28+2+-+4%29%2F+2+\"$
\n" ); document.write( " $\"x+=+-1\"$
\n" ); document.write( "I'll check for $\"x+=+-1\"$
\n" ); document.write( " $\"+%286%2Fx-2%29-%283%2Fx%29=%28-5%2Fx-4%29\"$
\n" ); document.write( " $\"+%286%2F%28-1-2%29%29-%283%2F%28-1%29%29=%28-5%2F%28-1%29-4%29\"$
\n" ); document.write( " $\"+-2+%2B+3+=+-5%2F%28-5%29\"$
\n" ); document.write( " $\"1+=+1\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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