Solve p=2k^3m

$$p = 2 k ^ { 3 } m$$

Solve for m

$$\left\{\begin{matrix}m=\frac{p}{2k^{3}}\text{, }&k\neq 0\\m\in \mathrm{R}\text{, }&p=0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2k^{3}m=p$$

Divide both sides by 2k^{3}.

$$\frac{2k^{3}m}{2k^{3}}=\frac{p}{2k^{3}}$$

Dividing by 2k^{3} undoes the multiplication by 2k^{3}.

$$m=\frac{p}{2k^{3}}$$

Solve for k

$$\left\{\begin{matrix}k=\frac{2^{\frac{2}{3}}\sqrt[3]{\frac{p}{m}}}{2}\text{, }&m\neq 0\\k\in \mathrm{R}\text{, }&p=0\text{ and }m=0\end{matrix}\right.$$