document.write( "Question 232370: Please help me solve the quadratic equation by factoring:\r
\n" ); document.write( "\n" ); document.write( "6y^2 - 54 = 0 \n" ); document.write( "

Algebra.Com's Answer #171745 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
When factoring, always start by factoring out the Greatest Common Factor (GCF), The GCF here is 6:
\n" ); document.write( " $\"6y%5E2+-+54+=+0\"$
\n" ); document.write( " $\"6%28y%5E2+-+9%29+=+0\"$
\n" ); document.write( "The second factor is obviously, I hope, a difference of squares:
\n" ); document.write( " $\"6%28y%2B3%29%28y-3%29+=+0\"$
\n" ); document.write( "And we are finished factoring. Now the Zero Product Property tells us that this or any product is zero only if one of the factors is zero. 6 cannot be zero. But the other two, with a variable, can:
\n" ); document.write( "x+3 = 0 or x-3 = 0
\n" ); document.write( "Solving these we get:
\n" ); document.write( "x = -3 or x = 3 \n" ); document.write( "

\n" );