Solve 36Omega=5V-32V/n*3nA

$$36 \Omega = \frac { 5 V - 32 V } { n \times 3 n A }$$

Solve for A

$$\left\{\begin{matrix}A=-\frac{V}{4\Omega n^{2}}\text{, }&V\neq 0\text{ and }n\neq 0\text{ and }\Omega \neq 0\\A\neq 0\text{, }&\Omega =0\text{ and }V=0\text{ and }n\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable A cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3An^{2}.

$$36\Omega \times 3An^{2}=5V-32V$$

Multiply 36 and 3 to get 108.

$$108\Omega An^{2}=5V-32V$$

Combine 5V and -32V to get -27V.

$$108\Omega An^{2}=-27V$$

The equation is in standard form.

$$108\Omega n^{2}A=-27V$$

Divide both sides by 108\Omega n^{2}.

$$\frac{108\Omega n^{2}A}{108\Omega n^{2}}=-\frac{27V}{108\Omega n^{2}}$$

Dividing by 108\Omega n^{2} undoes the multiplication by 108\Omega n^{2}.

$$A=-\frac{27V}{108\Omega n^{2}}$$

Divide -27V by 108\Omega n^{2}.

$$A=-\frac{V}{4\Omega n^{2}}$$

Variable A cannot be equal to 0.

$$A=-\frac{V}{4\Omega n^{2}}\text{, }A\neq 0$$

Solve for V

$$V=-4A\Omega n^{2}$$

$$A\neq 0\text{ and }n\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3An^{2}.

$$36\Omega \times 3An^{2}=5V-32V$$

Multiply 36 and 3 to get 108.

$$108\Omega An^{2}=5V-32V$$

Combine 5V and -32V to get -27V.

$$108\Omega An^{2}=-27V$$

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

$$-27V=108\Omega An^{2}$$

The equation is in standard form.

$$-27V=108A\Omega n^{2}$$

Divide both sides by -27.

$$\frac{-27V}{-27}=\frac{108A\Omega n^{2}}{-27}$$

Dividing by -27 undoes the multiplication by -27.

$$V=\frac{108A\Omega n^{2}}{-27}$$

Divide 108\Omega An^{2} by -27.

$$V=-4A\Omega n^{2}$$