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x^{2}-6x-x^{2}=9
Subtract x^{2} from both sides.
-6x=9
Combine x^{2} and -x^{2} to get 0.
x=\frac{9}{-6}
Divide both sides by -6.
x=-\frac{3}{2}
Reduce the fraction \frac{9}{-6} to lowest terms by extracting and canceling out 3.