Solve cm/2=xm^2

$$\frac { c m } { 2 } = x m ^ { 2 }$$

Solve for c (complex solution)

$$\left\{\begin{matrix}\\c=2mx\text{, }&\text{unconditionally}\\c\in \mathrm{C}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$cm=2xm^{2}$$

The equation is in standard form.

$$mc=2xm^{2}$$

Divide both sides by m.

$$\frac{mc}{m}=\frac{2xm^{2}}{m}$$

Dividing by m undoes the multiplication by m.

$$c=\frac{2xm^{2}}{m}$$

Divide 2xm^{2} by m.

$$c=2mx$$

Solve for c

$$\left\{\begin{matrix}\\c=2mx\text{, }&\text{unconditionally}\\c\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$cm=2xm^{2}$$

The equation is in standard form.

$$mc=2xm^{2}$$

Divide both sides by m.

$$\frac{mc}{m}=\frac{2xm^{2}}{m}$$

Dividing by m undoes the multiplication by m.

$$c=\frac{2xm^{2}}{m}$$

Divide 2xm^{2} by m.

$$c=2mx$$

Solve for m (complex solution)

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m=\frac{c}{2x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&c=0\text{ and }x=0\end{matrix}\right.$$

Solve for m

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m=\frac{c}{2x}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&c=0\text{ and }x=0\end{matrix}\right.$$