Solve v=a^2h

$$v = a ^ { 2 } h$$

Solve for h (complex solution)

$$\left\{\begin{matrix}h=\frac{v}{a^{2}}\text{, }&a\neq 0\\h\in \mathrm{C}\text{, }&v=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$a^{2}h=v$$

Divide both sides by a^{2}.

$$\frac{a^{2}h}{a^{2}}=\frac{v}{a^{2}}$$

Dividing by a^{2} undoes the multiplication by a^{2}.

$$h=\frac{v}{a^{2}}$$

Solve for h

$$\left\{\begin{matrix}h=\frac{v}{a^{2}}\text{, }&a\neq 0\\h\in \mathrm{R}\text{, }&v=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$a^{2}h=v$$

Divide both sides by a^{2}.

$$\frac{a^{2}h}{a^{2}}=\frac{v}{a^{2}}$$

Dividing by a^{2} undoes the multiplication by a^{2}.

$$h=\frac{v}{a^{2}}$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=-h^{-\frac{1}{2}}\sqrt{v}\text{; }a=h^{-\frac{1}{2}}\sqrt{v}\text{, }&h\neq 0\\a\in \mathrm{C}\text{, }&v=0\text{ and }h=0\end{matrix}\right.$$

Solve for a

$$\left\{\begin{matrix}a=\sqrt{\frac{v}{h}}\text{; }a=-\sqrt{\frac{v}{h}}\text{, }&\left(v\geq 0\text{ and }h>0\right)\text{ or }\left(v\leq 0\text{ and }h<0\right)\\a\in \mathrm{R}\text{, }&v=0\text{ and }h=0\end{matrix}\right.$$