Solve F=frac{KQ_{1}*O_{2}}{d^2}

$$F = \frac { K Q _ { 1 } \cdot O _ { 2 } } { d ^ { 2 } }$$

Solve for K

$$\left\{\begin{matrix}K=\frac{Fd^{2}}{O_{2}Q_{1}}\text{, }&O_{2}\neq 0\text{ and }Q_{1}\neq 0\text{ and }d\neq 0\\K\in \mathrm{R}\text{, }&\left(O_{2}=0\text{ or }Q_{1}=0\right)\text{ and }F=0\text{ and }d\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$Fd^{2}=KQ_{1}O_{2}$$

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

$$KQ_{1}O_{2}=Fd^{2}$$

The equation is in standard form.

$$O_{2}Q_{1}K=Fd^{2}$$

Divide both sides by Q_{1}O_{2}.

$$\frac{O_{2}Q_{1}K}{O_{2}Q_{1}}=\frac{Fd^{2}}{O_{2}Q_{1}}$$

Dividing by Q_{1}O_{2} undoes the multiplication by Q_{1}O_{2}.

$$K=\frac{Fd^{2}}{O_{2}Q_{1}}$$

Solve for F

$$F=\frac{KO_{2}Q_{1}}{d^{2}}$$

$$d\neq 0$$