Solve for y
y=-2x^{2}-x+\frac{1}{x}
x\neq 0
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x^{2}+xy=1-2x^{3}
Subtract 2x^{3} from both sides.
xy=1-2x^{3}-x^{2}
Subtract x^{2} from both sides.
xy=1-x^{2}-2x^{3}
The equation is in standard form.
\frac{xy}{x}=\frac{1-x^{2}-2x^{3}}{x}
Divide both sides by x.
y=\frac{1-x^{2}-2x^{3}}{x}
Dividing by x undoes the multiplication by x.
y=-2x^{2}-x+\frac{1}{x}
Divide 1-2x^{3}-x^{2} by x.
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