Solve L=v_0^2cosl/g

$$L = \frac { v _ { 0 } ^ { 2 } \cos l } { g }$$

Solve for g

$$\left\{\begin{matrix}g=\frac{v_{0}^{2}\cos(l)}{L}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }l=\pi n_{1}+\frac{\pi }{2}\text{ and }v_{0}\neq 0\text{ and }L\neq 0\\g\neq 0\text{, }&\left(v_{0}=0\text{ or }\exists n_{1}\in \mathrm{Z}\text{ : }l=\pi n_{1}+\frac{\pi }{2}\right)\text{ and }L=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable g cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by g.

$$Lg=v_{0}^{2}\cos(l)$$

Divide both sides by L.

$$\frac{Lg}{L}=\frac{v_{0}^{2}\cos(l)}{L}$$

Dividing by L undoes the multiplication by L.

$$g=\frac{v_{0}^{2}\cos(l)}{L}$$

Variable g cannot be equal to 0.

$$g=\frac{v_{0}^{2}\cos(l)}{L}\text{, }g\neq 0$$

Solve for L

$$L=\frac{v_{0}^{2}\cos(l)}{g}$$

$$g\neq 0$$