Solve for y
\left\{\begin{matrix}y=\frac{z-x^{4}}{x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&z=0\text{ and }x=0\end{matrix}\right.
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yx=z-x^{4}
Subtract x^{4} from both sides.
xy=z-x^{4}
The equation is in standard form.
\frac{xy}{x}=\frac{z-x^{4}}{x}
Divide both sides by x.
y=\frac{z-x^{4}}{x}
Dividing by x undoes the multiplication by x.
y=-x^{3}+\frac{z}{x}
Divide z-x^{4} by x.
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