Solve mf^2=p

$$m f ^ { 2 } = p$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=\frac{p}{f^{2}}\text{, }&f\neq 0\\m\in \mathrm{C}\text{, }&p=0\text{ and }f=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$f^{2}m=p$$

Divide both sides by f^{2}.

$$\frac{f^{2}m}{f^{2}}=\frac{p}{f^{2}}$$

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

$$m=\frac{p}{f^{2}}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{p}{f^{2}}\text{, }&f\neq 0\\m\in \mathrm{R}\text{, }&p=0\text{ and }f=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$f^{2}m=p$$

Divide both sides by f^{2}.

$$\frac{f^{2}m}{f^{2}}=\frac{p}{f^{2}}$$

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

$$m=\frac{p}{f^{2}}$$

Solve for f (complex solution)

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

Solve for f

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