document.write( "Question 306624: i need help on solving for \"m\" in this rational expression \r
\n" ); document.write( "\n" ); document.write( "m over m-2 -3m over m-4 =-2m+2 over m squared -6m+8 \n" ); document.write( "

Algebra.Com's Answer #219485 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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m over m-2 -3m over m-4 =-2m+2 over m squared -6m+8
\n" ); document.write( ":
\n" ); document.write( "Assume the problem is:
\n" ); document.write( " $\"m%2F%28%28m-2%29%29\"$ - $\"%283m%29%2F%28%28m-4%29%29\"$ = $\"%28-2m%2B2%29%2F%28m%5E2-6m%2B8%29\"$
\n" ); document.write( ":
\n" ); document.write( "Factor the denominator on the right:
\n" ); document.write( " $\"m%2F%28%28m-2%29%29\"$ - $\"%283m%29%2F%28%28m-4%29%29\"$ = $\"%28%28-2m%2B2%29%29%2F%28%28m-4%29%28m-2%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "Multiply by the common denominator,(m-4)(m-2), results:
\n" ); document.write( "m(m-4) - 3m(m-2) = -2m + 2
\n" ); document.write( ":
\n" ); document.write( "m^2 - 4m - 3m^2 + 6m = -2m + 2
\n" ); document.write( "Combine like terms on the left
\n" ); document.write( "m^2 - 3m^2 - 4m + 6m + 2m - 2 = 0
\n" ); document.write( ":
\n" ); document.write( "-2m^2 + 4m - 2 = 0
\n" ); document.write( "Factor out -2
\n" ); document.write( "-2(m^2 - 2m + 1) = 0
\n" ); document.write( "Factor again
\n" ); document.write( "-2(m-1)(m-1) = 0
\n" ); document.write( "Solution
\n" ); document.write( "m = 1 \n" ); document.write( "

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