$\left\{\begin{matrix}L=\frac{ZG^{2}}{u}-u\text{, }&u\neq 0\\L\in \mathrm{C}\text{, }&\left(Z=0\text{ or }G=0\right)\text{ and }u=0\end{matrix}\right.$

$\left\{\begin{matrix}L=\frac{ZG^{2}}{u}-u\text{, }&u\neq 0\\L\in \mathrm{R}\text{, }&\left(Z=0\text{ or }G=0\right)\text{ and }u=0\end{matrix}\right.$

$\left\{\begin{matrix}G=-Z^{-\frac{1}{2}}\sqrt{u\left(u+L\right)}\text{; }G=Z^{-\frac{1}{2}}\sqrt{u\left(u+L\right)}\text{, }&Z\neq 0\\G\in \mathrm{C}\text{, }&\left(L=-u\text{ or }u=0\right)\text{ and }Z=0\end{matrix}\right.$

$\left\{\begin{matrix}G=\sqrt{\frac{u\left(u+L\right)}{Z}}\text{; }G=-\sqrt{\frac{u\left(u+L\right)}{Z}}\text{, }&\left(u\neq 0\text{ and }L=-u\text{ and }Z\neq 0\right)\text{ or }\left(u\geq 0\text{ and }L\geq -u\text{ and }Z>0\right)\text{ or }\left(u=0\text{ and }Z>0\right)\text{ or }\left(L=-u\text{ and }Z>0\right)\text{ or }\left(L\leq -u\text{ and }u\leq 0\text{ and }Z>0\right)\text{ or }\left(u>0\text{ and }L\leq -u\text{ and }Z<0\right)\text{ or }\left(L\geq -u\text{ and }u<0\text{ and }Z<0\right)\\G\in \mathrm{R}\text{, }&\left(L=-u\text{ or }u=0\right)\text{ and }Z=0\end{matrix}\right.$