Solve for x
\left\{\begin{matrix}x\in \mathrm{R}\text{, }&(z=0\text{ and }y\leq 0)\text{ or }(y\leq 0\text{ and }y_{2}\leq 0)\text{ or }y=0\text{ or }(z\neq 0\text{ and }y_{2}<0\text{ and }y<0)\\x\in [-\frac{\sqrt{\frac{10}{y_{2}}}}{2|z|},\frac{\sqrt{\frac{10}{y_{2}}}}{2|z|}]\text{, }&z\neq 0\text{ and }y_{2}>0\text{ and }y\leq 0\\x=-\frac{\sqrt{\frac{10}{y_{2}}}}{2|z|}\text{; }x=\frac{\sqrt{\frac{10}{y_{2}}}}{2|z|}\text{, }&z\neq 0\text{ and }y_{2}>0\text{ and }y\neq 0\\x\in (-\infty,-\frac{\sqrt{\frac{10}{y_{2}}}}{2|z|}]\cup [\frac{\sqrt{\frac{10}{y_{2}}}}{2|z|},\infty)\text{, }&z\neq 0\text{ and }y_{2}>0\text{ and }y>0\end{matrix}\right.
Solve for z
\left\{\begin{matrix}z\in \mathrm{R}\text{, }&(x=0\text{ and }y\leq 0)\text{ or }(y\leq 0\text{ and }y_{2}\leq 0)\text{ or }y=0\text{ or }(x\neq 0\text{ and }y_{2}<0\text{ and }y<0)\\z\in [-\frac{\sqrt{\frac{10}{y_{2}}}}{2|x|},\frac{\sqrt{\frac{10}{y_{2}}}}{2|x|}]\text{, }&y_{2}>0\text{ and }x\neq 0\text{ and }y\leq 0\\z=-\frac{\sqrt{\frac{10}{y_{2}}}}{2|x|}\text{; }z=\frac{\sqrt{\frac{10}{y_{2}}}}{2|x|}\text{, }&y_{2}>0\text{ and }x\neq 0\text{ and }y\neq 0\\z\in (-\infty,-\frac{\sqrt{\frac{10}{y_{2}}}}{2|x|}]\cup [\frac{\sqrt{\frac{10}{y_{2}}}}{2|x|},\infty)\text{, }&y_{2}>0\text{ and }x\neq 0\text{ and }y>0\end{matrix}\right.
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