Solve p=m(x+n)

$$p = m ( x + n )$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=\frac{p}{x+n}\text{, }&x\neq -n\\m\in \mathrm{C}\text{, }&p=0\text{ and }x=-n\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply m by x+n.

$$p=mx+mn$$

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

$$mx+mn=p$$

Combine all terms containing m.

$$\left(x+n\right)m=p$$

Divide both sides by x+n.

$$\frac{\left(x+n\right)m}{x+n}=\frac{p}{x+n}$$

Dividing by x+n undoes the multiplication by x+n.

$$m=\frac{p}{x+n}$$

Solve for n (complex solution)

$$\left\{\begin{matrix}n=-x+\frac{p}{m}\text{, }&m\neq 0\\n\in \mathrm{C}\text{, }&p=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply m by x+n.

$$p=mx+mn$$

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

$$mx+mn=p$$

Subtract mx from both sides.

$$mn=p-mx$$

Divide both sides by m.

$$\frac{mn}{m}=\frac{p-mx}{m}$$

Dividing by m undoes the multiplication by m.

$$n=\frac{p-mx}{m}$$

Divide p-xm by m.

$$n=-x+\frac{p}{m}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{p}{x+n}\text{, }&x\neq -n\\m\in \mathrm{R}\text{, }&p=0\text{ and }x=-n\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply m by x+n.

$$p=mx+mn$$

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

$$mx+mn=p$$

Combine all terms containing m.

$$\left(x+n\right)m=p$$

Divide both sides by x+n.

$$\frac{\left(x+n\right)m}{x+n}=\frac{p}{x+n}$$

Dividing by x+n undoes the multiplication by x+n.

$$m=\frac{p}{x+n}$$

Solve for n

$$\left\{\begin{matrix}n=-x+\frac{p}{m}\text{, }&m\neq 0\\n\in \mathrm{R}\text{, }&p=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply m by x+n.

$$p=mx+mn$$

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

$$mx+mn=p$$

Subtract mx from both sides.

$$mn=p-mx$$

Divide both sides by m.

$$\frac{mn}{m}=\frac{p-mx}{m}$$

Dividing by m undoes the multiplication by m.

$$n=\frac{p-mx}{m}$$

Divide p-xm by m.

$$n=-x+\frac{p}{m}$$