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x^{2}-x^{2}=90-6x
Subtract x^{2} from both sides.
0=90-6x
Combine x^{2} and -x^{2} to get 0.
90-6x=0
Swap sides so that all variable terms are on the left hand side.
-6x=-90
Subtract 90 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-90}{-6}
Divide both sides by -6.
x=15
Divide -90 by -6 to get 15.