Solve M=M/O

$$M = M / O$$

Solve for M

$$\left\{\begin{matrix}M=0\text{, }&O\neq 0\\M\in \mathrm{R}\text{, }&O=1\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract \frac{M}{O} from both sides.

$$M-\frac{M}{O}=0$$

To add or subtract expressions, expand them to make their denominators the same. Multiply M times \frac{O}{O}.

$$\frac{MO}{O}-\frac{M}{O}=0$$

Since \frac{MO}{O} and \frac{M}{O} have the same denominator, subtract them by subtracting their numerators.

$$\frac{MO-M}{O}=0$$

Multiply both sides of the equation by O.

$$MO-M=0$$

Combine all terms containing M.

$$\left(O-1\right)M=0$$

Divide 0 by -1+O.

$$M=0$$

Solve for O

$$\left\{\begin{matrix}\\O=1\text{, }&\text{unconditionally}\\O\neq 0\text{, }&M=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$MO=M$$

Divide both sides by M.

$$\frac{MO}{M}=\frac{M}{M}$$

Dividing by M undoes the multiplication by M.

$$O=\frac{M}{M}$$

Divide M by M.

$$O=1$$