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x^{2}-8x+16=x^{2}
Multiply x and x to get x^{2}.
x^{2}-8x+16-x^{2}=0
Subtract x^{2} from both sides.
-8x+16=0
Combine x^{2} and -x^{2} to get 0.
-8x=-16
Subtract 16 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-16}{-8}
Divide both sides by -8.
x=2
Divide -16 by -8 to get 2.