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-16a=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
\frac{-16a}{-16}=-\frac{x^{2}}{-16}
Divide both sides by -16.
a=-\frac{x^{2}}{-16}
Dividing by -16 undoes the multiplication by -16.
a=\frac{x^{2}}{16}
Divide -x^{2} by -16.