document.write( "Question 174265: Can you show me how to solve for x?
\n" ); document.write( "((x-1)/x(x-2)) = 2/3 \n" ); document.write( "

Algebra.Com's Answer #129202 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"%28x-1%29%2Fx%28x-2%29+=+2%2F3\"$ Expand the denominator of the left side.
\n" ); document.write( " $\"%28x-1%29%2F%28x%5E2-2x%29+=+2%2F3\"$ Multiply both sides by 3.
\n" ); document.write( " $\"3%28x-1%29%2F%28x%5E2-2x%29+=+2\"$ Multiply both sides by $\"%28x%5E2-2x%29\"$
\n" ); document.write( " $\"3x-3+=+2%28x%5E2-2x%29\"$ Expand the right side.
\n" ); document.write( " $\"3x-3+=+2x%5E2-4x\"$ Subtract 3x from both sides.
\n" ); document.write( " $\"-3+=+2x%5E2-7x\"$ Add 3 to both sides.
\n" ); document.write( " $\"2x%5E2-7x%2B3+=+0\"$ Factor this quadratic equation.
\n" ); document.write( " $\"%282x-1%29%28x-3%29+=+0\"$ Apply the zero product rule.
\n" ); document.write( " $\"2x-1+=+0\"$ or $\"x-3+=+0\"$ , so...
\n" ); document.write( " $\"highlight%28x+=+1%2F2%29\"$ or $\"highlight%28x+=+3%29\"$ \n" ); document.write( "

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