How to solve F=k Q1R2 R^ 2

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve F=k Q1R2 R^ 2 | Equatix

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Question

$$F=k\frac{Q1R2}{R^{2}}$$

Solve for Q_1

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

Steps for Solving Linear Equation

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

$$FR^{2}=kQ_{1}R_{2}$$

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

$$kQ_{1}R_{2}=FR^{2}$$

The equation is in standard form.

$$R_{2}kQ_{1}=FR^{2}$$

Divide both sides by $kR_{2}$.

$$\frac{R_{2}kQ_{1}}{R_{2}k}=\frac{FR^{2}}{R_{2}k}$$

Dividing by $kR_{2}$ undoes the multiplication by $kR_{2}$.

$$Q_{1}=\frac{FR^{2}}{R_{2}k}$$

Show Solution

Solve for F

$F=\frac{Q_{1}R_{2}k}{R^{2}}$
$R\neq 0$