Solve 12-pq=4hk

$$12 - p q = 4 h k$$

Solve for h (complex solution)

$$\left\{\begin{matrix}h=-\frac{pq-12}{4k}\text{, }&k\neq 0\\h\in \mathrm{C}\text{, }&p=\frac{12}{q}\text{ and }q\neq 0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4hk=12-pq$$

The equation is in standard form.

$$4kh=12-pq$$

Divide both sides by 4k.

$$\frac{4kh}{4k}=\frac{12-pq}{4k}$$

Dividing by 4k undoes the multiplication by 4k.

$$h=\frac{12-pq}{4k}$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=-\frac{pq-12}{4h}\text{, }&h\neq 0\\k\in \mathrm{C}\text{, }&p=\frac{12}{q}\text{ and }q\neq 0\text{ and }h=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4hk=12-pq$$

Divide both sides by 4h.

$$\frac{4hk}{4h}=\frac{12-pq}{4h}$$

Dividing by 4h undoes the multiplication by 4h.

$$k=\frac{12-pq}{4h}$$

Solve for h

$$\left\{\begin{matrix}h=-\frac{pq-12}{4k}\text{, }&k\neq 0\\h\in \mathrm{R}\text{, }&p=\frac{12}{q}\text{ and }q\neq 0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4hk=12-pq$$

The equation is in standard form.

$$4kh=12-pq$$

Divide both sides by 4k.

$$\frac{4kh}{4k}=\frac{12-pq}{4k}$$

Dividing by 4k undoes the multiplication by 4k.

$$h=\frac{12-pq}{4k}$$

Solve for k

$$\left\{\begin{matrix}k=-\frac{pq-12}{4h}\text{, }&h\neq 0\\k\in \mathrm{R}\text{, }&p=\frac{12}{q}\text{ and }q\neq 0\text{ and }h=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4hk=12-pq$$

Divide both sides by 4h.

$$\frac{4hk}{4h}=\frac{12-pq}{4h}$$

Dividing by 4h undoes the multiplication by 4h.

$$k=\frac{12-pq}{4h}$$