Solve p=q(r+2)/2r

$$p = \frac { q ( r + 2 ) } { 2 r }$$

Solve for q

$$\left\{\begin{matrix}q=\frac{2pr}{r+2}\text{, }&r\neq -2\text{ and }r\neq 0\\q\in \mathrm{R}\text{, }&r=-2\text{ and }p=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2r.

$$p\times 2r=q\left(r+2\right)$$

Use the distributive property to multiply q by r+2.

$$p\times 2r=qr+2q$$

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

$$qr+2q=p\times 2r$$

Combine all terms containing q.

$$\left(r+2\right)q=p\times 2r$$

The equation is in standard form.

$$\left(r+2\right)q=2pr$$

Divide both sides by r+2.

$$\frac{\left(r+2\right)q}{r+2}=\frac{2pr}{r+2}$$

Dividing by r+2 undoes the multiplication by r+2.

$$q=\frac{2pr}{r+2}$$

Solve for p

$$p=\frac{q}{2}+\frac{q}{r}$$

$$r\neq 0$$