Solve V_{j}=frac{v_{t}*d}{c*10,000}

$$V _ { j } = \frac { v _ { t } * d } { c * 10,000 }$$

Solve for c

$$\left\{\begin{matrix}c=\frac{dv_{t}}{10000V_{j}}\text{, }&d\neq 0\text{ and }v_{t}\neq 0\text{ and }V_{j}\neq 0\\c\neq 0\text{, }&\left(v_{t}=0\text{ or }d=0\right)\text{ and }V_{j}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10000c.

$$V_{j}\times 10000c=v_{t}d$$

Reorder the terms.

$$10000V_{j}c=dv_{t}$$

Divide both sides by 10000V_{j}.

$$\frac{10000V_{j}c}{10000V_{j}}=\frac{dv_{t}}{10000V_{j}}$$

Dividing by 10000V_{j} undoes the multiplication by 10000V_{j}.

$$c=\frac{dv_{t}}{10000V_{j}}$$

Variable c cannot be equal to 0.

$$c=\frac{dv_{t}}{10000V_{j}}\text{, }c\neq 0$$

Solve for V_j

$$V_{j}=\frac{dv_{t}}{10000c}$$

$$c\neq 0$$