Solve P=NP^2

$$P = NP ^ { 2 }$$

Solve for N

$$\left\{\begin{matrix}N=\frac{1}{P}\text{, }&P\neq 0\\N\in \mathrm{R}\text{, }&P=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$NP^{2}=P$$

The equation is in standard form.

$$P^{2}N=P$$

Divide both sides by P^{2}.

$$\frac{P^{2}N}{P^{2}}=\frac{P}{P^{2}}$$

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

$$N=\frac{P}{P^{2}}$$

Divide P by P^{2}.

$$N=\frac{1}{P}$$

Solve for P

$$\left\{\begin{matrix}\\P=0\text{, }&\text{unconditionally}\\P=\frac{1}{N}\text{, }&N\neq 0\end{matrix}\right.$$