Solve for x (complex solution)
\left\{\begin{matrix}x=\sqrt{2}\left(-\frac{1}{2}+\frac{1}{2}i\right)z^{-\frac{1}{4}}\sqrt[4]{y-4}\text{; }x=\sqrt{2}\left(\frac{1}{2}+\frac{1}{2}i\right)z^{-\frac{1}{4}}\sqrt[4]{y-4}\text{; }x=\sqrt{2}\left(-\frac{1}{2}-\frac{1}{2}i\right)z^{-\frac{1}{4}}\sqrt[4]{y-4}\text{; }x=\sqrt{2}\left(\frac{1}{2}-\frac{1}{2}i\right)z^{-\frac{1}{4}}\sqrt[4]{y-4}\text{, }&z\neq 0\\x\in \mathrm{C}\text{, }&y=4\text{ and }z=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\sqrt[4]{-\frac{y-4}{z}}\text{; }x=-\sqrt[4]{-\frac{y-4}{z}}\text{, }&\left(y\geq 4\text{ and }z<0\right)\text{ or }\left(z>0\text{ and }y\leq 4\right)\\x\in \mathrm{R}\text{, }&y=4\text{ and }z=0\end{matrix}\right.
Solve for y
y=4-zx^{4}
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