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-9c=-4x^{2}
Subtract 4x^{2} from both sides. Anything subtracted from zero gives its negation.
\frac{-9c}{-9}=-\frac{4x^{2}}{-9}
Divide both sides by -9.
c=-\frac{4x^{2}}{-9}
Dividing by -9 undoes the multiplication by -9.
c=\frac{4x^{2}}{9}
Divide -4x^{2} by -9.