Solve T=2pisqrt{l/g}wh

$$T = 2 \pi \sqrt { \frac { l } { g } } w h$$

Solve for T (complex solution)

$$T=2\pi \sqrt{\frac{l}{g}}hw$$

$$g\neq 0$$

Solve for g (complex solution)

$$\left\{\begin{matrix}g=4l\times \left(\frac{\pi hw}{T}\right)^{2}\text{, }&h\neq 0\text{ and }w\neq 0\text{ and }l\neq 0\text{ and }|-arg(T)+arg(\sqrt{\left(\frac{T}{hw}\right)^{2}}hw)|<\pi \text{ and }T\neq 0\\g\neq 0\text{, }&\left(h=0\text{ or }w=0\text{ or }l=0\right)\text{ and }T=0\end{matrix}\right.$$

Solve for T

$$T=2\pi \sqrt{\frac{l}{g}}hw$$

$$\left(l\geq 0\text{ and }g>0\right)\text{ or }\left(l\leq 0\text{ and }g<0\right)$$

Solve for g

$$\left\{\begin{matrix}g=4l\times \left(\frac{\pi hw}{T}\right)^{2}\text{, }&\left(h<0\text{ and }w>0\text{ and }T<0\text{ and }l\neq 0\right)\text{ or }\left(w<0\text{ and }h>0\text{ and }T<0\text{ and }l\neq 0\right)\text{ or }\left(h<0\text{ and }w<0\text{ and }T>0\text{ and }l\neq 0\right)\text{ or }\left(w>0\text{ and }h>0\text{ and }T>0\text{ and }l\neq 0\right)\\g\neq 0\text{, }&T=0\text{ and }l=0\\g<0\text{, }&\left(l\leq 0\text{ and }T=0\text{ and }w=0\right)\text{ or }\left(l\leq 0\text{ and }T=0\text{ and }h=0\right)\\g>0\text{, }&\left(l\geq 0\text{ and }T=0\text{ and }w=0\right)\text{ or }\left(l\geq 0\text{ and }T=0\text{ and }h=0\right)\end{matrix}\right.$$