$\left\{\begin{matrix}f=-\frac{1-z-2x}{gox}\text{, }&x\neq 0\text{ and }g\neq 0\text{ and }o\neq 0\\f\in \mathrm{R}\text{, }&\left(x=\frac{1-z}{2}\text{ and }g=0\right)\text{ or }\left(x=0\text{ and }z=1\right)\text{ or }\left(x=\frac{1-z}{2}\text{ and }o=0\text{ and }g\neq 0\text{ and }z\neq 1\right)\end{matrix}\right.$

$\left\{\begin{matrix}g=-\frac{1-z-2x}{fox}\text{, }&x\neq 0\text{ and }o\neq 0\text{ and }f\neq 0\\g\in \mathrm{R}\text{, }&\left(x=\frac{1-z}{2}\text{ and }o=0\right)\text{ or }\left(x=0\text{ and }z=1\right)\text{ or }\left(x=\frac{1-z}{2}\text{ and }f=0\text{ and }o\neq 0\text{ and }z\neq 1\right)\end{matrix}\right.$