Solve for x
\left\{\begin{matrix}x=\frac{\sqrt{8y^{5}+40y^{2}+z^{2}}-z}{2y^{2}}\text{; }x=-\frac{\sqrt{8y^{5}+40y^{2}+z^{2}}+z}{2y^{2}}\text{, }&\left(y\neq 0\text{ and }y>-\sqrt[3]{5}\right)\text{ or }\left(y\neq 0\text{ and }|z|\geq 2\sqrt{-2y^{2}\left(y^{3}+5\right)}\right)\\x=\frac{10}{z}\text{, }&y=0\text{ and }z\neq 0\end{matrix}\right.
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