Solve E=K*Q*q/d^2/q

$$E = \frac { \frac { K \cdot Q \cdot q } { d ^ { 2 } } } { q }$$

Solve for K

$$\left\{\begin{matrix}K=\frac{Ed^{2}}{Q}\text{, }&Q\neq 0\text{ and }d\neq 0\text{ and }q\neq 0\\K\in \mathrm{R}\text{, }&E=0\text{ and }Q=0\text{ and }d\neq 0\text{ and }q\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by q.

$$Eq=\frac{KQq}{d^{2}}$$

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

$$\frac{KQq}{d^{2}}=Eq$$

Multiply both sides of the equation by d^{2}.

$$KQq=Eqd^{2}$$

The equation is in standard form.

$$QqK=Eqd^{2}$$

Divide both sides by Qq.

$$\frac{QqK}{Qq}=\frac{Eqd^{2}}{Qq}$$

Dividing by Qq undoes the multiplication by Qq.

$$K=\frac{Eqd^{2}}{Qq}$$

Divide Eqd^{2} by Qq.

$$K=\frac{Ed^{2}}{Q}$$

Solve for E

$$E=\frac{KQ}{d^{2}}$$

$$d\neq 0\text{ and }q\neq 0$$