SOLUTION: please solve using the principle of zero products. 2x^2+x=42+9x

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Question 339262: please solve using the principle of zero products.
2x^2+x=42+9x

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
2x^2+x=42+9x
moving all the terms to the left:
2x^2-8x=42
2x^2-8x-42=0
dividing both sides by 2:
x^2-4x-21=0
factoring:
(x-7)(x+3) = 0
.
x = {-3, 7}