Solve p=np

$$p = n p$$

Solve for n

$$\left\{\begin{matrix}\\n=1\text{, }&\text{unconditionally}\\n\in \mathrm{R}\text{, }&p=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$np=p$$

The equation is in standard form.

$$pn=p$$

Divide both sides by p.

$$\frac{pn}{p}=\frac{p}{p}$$

Dividing by p undoes the multiplication by p.

$$n=\frac{p}{p}$$

Divide p by p.

$$n=1$$

Solve for p

$$\left\{\begin{matrix}\\p=0\text{, }&\text{unconditionally}\\p\in \mathrm{R}\text{, }&n=1\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract np from both sides.

$$p-np=0$$

Combine all terms containing p.

$$\left(1-n\right)p=0$$

Divide 0 by 1-n.

$$p=0$$