Solve S_{n}=frac{A_{n}}{m*n(A_{n})}

$$S _ { n } = \frac { A _ { n } } { m \cdot n ( A _ { n } ) }$$

Solve for A_n (complex solution)

$$A_{n}\neq 0$$

$$n=\frac{1}{S_{n}m}\text{ and }S_{n}\neq 0\text{ and }m\neq 0$$

Steps for Solving Linear Equation

Variable A_{n} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by A_{n}mn.

$$S_{n}A_{n}mn=A_{n}$$

Subtract A_{n} from both sides.

$$S_{n}A_{n}mn-A_{n}=0$$

Combine all terms containing A_{n}.

$$\left(S_{n}mn-1\right)A_{n}=0$$

Divide 0 by S_{n}mn-1.

$$A_{n}=0$$

Variable A_{n} cannot be equal to 0.

$$A_{n}\in \emptyset$$

Solve for A_n

$$A_{n}\neq 0$$

$$S_{n}\neq 0\text{ and }m\neq 0\text{ and }n=\frac{1}{S_{n}m}$$

Steps for Solving Linear Equation

Variable A_{n} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by A_{n}mn.

$$S_{n}A_{n}mn=A_{n}$$

Subtract A_{n} from both sides.

$$S_{n}A_{n}mn-A_{n}=0$$

Combine all terms containing A_{n}.

$$\left(S_{n}mn-1\right)A_{n}=0$$

Divide 0 by S_{n}mn-1.

$$A_{n}=0$$

Variable A_{n} cannot be equal to 0.

$$A_{n}\in \emptyset$$

Solve for S_n

$$S_{n}=\frac{1}{mn}$$

$$m\neq 0\text{ and }n\neq 0\text{ and }A_{n}\neq 0$$