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3x^{2}+3-6x=3x^{2}-9
Calculate 3 to the power of 2 and get 9.
3x^{2}+3-6x-3x^{2}=-9
Subtract 3x^{2} from both sides.
3-6x=-9
Combine 3x^{2} and -3x^{2} to get 0.
-6x=-9-3
Subtract 3 from both sides.
-6x=-12
Subtract 3 from -9 to get -12.
x=\frac{-12}{-6}
Divide both sides by -6.
x=2
Divide -12 by -6 to get 2.