document.write( "Question 1205914: solve 3x^3y^2-45x^2y=15x^3y-9x^2y^2 for x and y \n" ); document.write( "

Algebra.Com's Answer #843014 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( " $\"3x%5E3y%5E2-45x%5E2y=15x%5E3y-9x%5E2y%5E2\"$

\n" ); document.write( "Move everything to one side with the other side zero.

\n" ); document.write( " $\"3x%5E3y%5E2-45x%5E2y-15x%5E3y%2B9x%5E2y%5E2=0\"$

\n" ); document.write( "Factor the common factor out of all the terms.

\n" ); document.write( " $\"%283x%5E2y%29%28xy-15-5x%2B3y%29=0\"$

\n" ); document.write( "Group the terms in the second factor and look for a common factor.

\n" ); document.write( " $\"%283x%5E2y%29%28%28xy-5x%29%2B%283y-15%29%29=0\"$
\n" ); document.write( " $\"%283x%5E2y%29%28x%28y-5%29%2B3%28y-5%29%29=0\"$
\n" ); document.write( " $\"%283x%5E2y%29%28x%2B3%29%28y-5%29=0\"$

\n" ); document.write( "Use the basic idea that the product is zero only if at least one of the factors is zero:

\n" ); document.write( "ANSWERS: x=0; y=0; x=-3; y=5

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