Solve 3.6Omega=5V-3.2V/n*3m

$$3.6 \Omega = \frac { 5 V - 3.2 V } { n \times 3 m }$$

Solve for V

$$V=6mn\Omega$$

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 3mn.

$$3.6\Omega \times 3mn=5V-3.2V$$

Multiply 3.6 and 3 to get 10.8.

$$10.8\Omega mn=5V-3.2V$$

Combine 5V and -3.2V to get 1.8V.

$$10.8\Omega mn=1.8V$$

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

$$1.8V=10.8\Omega mn$$

The equation is in standard form.

$$1.8V=\frac{54mn\Omega }{5}$$

Divide both sides of the equation by 1.8, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.8V}{1.8}=\frac{54mn\Omega }{1.8\times 5}$$

Dividing by 1.8 undoes the multiplication by 1.8.

$$V=\frac{54mn\Omega }{1.8\times 5}$$

Divide \frac{54\Omega mn}{5} by 1.8 by multiplying \frac{54\Omega mn}{5} by the reciprocal of 1.8.

$$V=6mn\Omega$$

Solve for m

$$\left\{\begin{matrix}\\m\neq 0\text{, }&\text{unconditionally}\\m=\frac{V}{6n\Omega }\text{, }&V\neq 0\text{ and }n\neq 0\text{ and }\Omega \neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3mn.

$$3.6\Omega \times 3mn=5V-3.2V$$

Multiply 3.6 and 3 to get 10.8.

$$10.8\Omega mn=5V-3.2V$$

Combine 5V and -3.2V to get 1.8V.

$$10.8\Omega mn=1.8V$$

The equation is in standard form.

$$\frac{54n\Omega }{5}m=\frac{9V}{5}$$

Divide both sides by 10.8\Omega n.

$$\frac{5\times \frac{54n\Omega }{5}m}{54n\Omega }=\frac{9V}{5\times \frac{54n\Omega }{5}}$$

Dividing by 10.8\Omega n undoes the multiplication by 10.8\Omega n.

$$m=\frac{9V}{5\times \frac{54n\Omega }{5}}$$

Divide \frac{9V}{5} by 10.8\Omega n.

$$m=\frac{V}{6n\Omega }$$

Variable m cannot be equal to 0.

$$m=\frac{V}{6n\Omega }\text{, }m\neq 0$$