SOLUTION: Please help me solve the quadratic equation by factoring: 6y^2 - 54 = 0

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Question 232370: Please help me solve the quadratic equation by factoring:
6y^2 - 54 = 0
Answer by jsmallt9(3758) About Me  (Show Source):
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:
6y%5E2+-+54+=+0
6%28y%5E2+-+9%29+=+0
The second factor is obviously, I hope, a difference of squares:
6%28y%2B3%29%28y-3%29+=+0
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:
x+3 = 0 or x-3 = 0
Solving these we get:
x = -3 or x = 3