Solve for x
x=-\frac{4y^{3}}{y^{2}+3}
Solve for y
y=\frac{\sqrt[3]{-x^{3}+36|x|\sqrt{x^{2}+324}-648x}+\sqrt[3]{-x^{3}-36|x|\sqrt{x^{2}+324}-648x}-x}{12}
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xy^{2}+3x=-4y^{3}
Subtract 4y^{3} from both sides. Anything subtracted from zero gives its negation.
\left(y^{2}+3\right)x=-4y^{3}
Combine all terms containing x.
\frac{\left(y^{2}+3\right)x}{y^{2}+3}=-\frac{4y^{3}}{y^{2}+3}
Divide both sides by y^{2}+3.
x=-\frac{4y^{3}}{y^{2}+3}
Dividing by y^{2}+3 undoes the multiplication by y^{2}+3.
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