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3x+2=-5y^{2}
Subtract 5y^{2} from both sides. Anything subtracted from zero gives its negation.
3x=-5y^{2}-2
Subtract 2 from both sides.
\frac{3x}{3}=\frac{-5y^{2}-2}{3}
Divide both sides by 3.
x=\frac{-5y^{2}-2}{3}
Dividing by 3 undoes the multiplication by 3.