Solve 2-Pq=4hk

$$2 - P q = 4 h k$$

Solve for P

$$\left\{\begin{matrix}P=\frac{2\left(1-2hk\right)}{q}\text{, }&q\neq 0\\P\in \mathrm{R}\text{, }&h=\frac{1}{2k}\text{ and }k\neq 0\text{ and }q=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 2 from both sides.

$$-Pq=4hk-2$$

The equation is in standard form.

$$\left(-q\right)P=4hk-2$$

Divide both sides by -q.

$$\frac{\left(-q\right)P}{-q}=\frac{4hk-2}{-q}$$

Dividing by -q undoes the multiplication by -q.

$$P=\frac{4hk-2}{-q}$$

Divide 4hk-2 by -q.

$$P=-\frac{2\left(2hk-1\right)}{q}$$

Solve for h

$$\left\{\begin{matrix}h=-\frac{Pq-2}{4k}\text{, }&k\neq 0\\h\in \mathrm{R}\text{, }&P=\frac{2}{q}\text{ and }q\neq 0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4hk=2-Pq$$

The equation is in standard form.

$$4kh=2-Pq$$

Divide both sides by 4k.

$$\frac{4kh}{4k}=\frac{2-Pq}{4k}$$

Dividing by 4k undoes the multiplication by 4k.

$$h=\frac{2-Pq}{4k}$$