Solve F=K(q_{1})(q_{2})

$$F = K ( q _ { 1 } ) ( q _ { 2 } )$$

Solve for K

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

Steps for Solving Linear Equation

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

$$Kq_{1}q_{2}=F$$

The equation is in standard form.

$$q_{1}q_{2}K=F$$

Divide both sides by q_{1}q_{2}.

$$\frac{q_{1}q_{2}K}{q_{1}q_{2}}=\frac{F}{q_{1}q_{2}}$$

Dividing by q_{1}q_{2} undoes the multiplication by q_{1}q_{2}.

$$K=\frac{F}{q_{1}q_{2}}$$

Solve for F

$$F=Kq_{1}q_{2}$$