Solve F=frac{2kLI*I_{2}}{r}

$$F = \frac { 2 k L I \cdot I _ { 2 } } { r }$$

Solve for I

$$\left\{\begin{matrix}I=\frac{Fr}{2I_{2}Lk}\text{, }&I_{2}\neq 0\text{ and }L\neq 0\text{ and }k\neq 0\text{ and }r\neq 0\\I\in \mathrm{R}\text{, }&\left(I_{2}=0\text{ or }L=0\text{ or }k=0\right)\text{ and }F=0\text{ and }r\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by r.

$$Fr=2kLII_{2}$$

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

$$2kLII_{2}=Fr$$

The equation is in standard form.

$$2I_{2}LkI=Fr$$

Divide both sides by 2kLI_{2}.

$$\frac{2I_{2}LkI}{2I_{2}Lk}=\frac{Fr}{2I_{2}Lk}$$

Dividing by 2kLI_{2} undoes the multiplication by 2kLI_{2}.

$$I=\frac{Fr}{2I_{2}Lk}$$

Solve for F

$$F=\frac{2II_{2}Lk}{r}$$

$$r\neq 0$$