Solve 108cm^2=x*x/3

$$108 cm ^ { 2 } = x \times \frac { x } { 3 }$$

Solve for c (complex solution)

$$\left\{\begin{matrix}c=\frac{\left(\frac{x}{m}\right)^{2}}{324}\text{, }&m\neq 0\\c\in \mathrm{C}\text{, }&x=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$324cm^{2}=xx$$

Multiply x and x to get x^{2}.

$$324cm^{2}=x^{2}$$

The equation is in standard form.

$$324m^{2}c=x^{2}$$

Divide both sides by 324m^{2}.

$$\frac{324m^{2}c}{324m^{2}}=\frac{x^{2}}{324m^{2}}$$

Dividing by 324m^{2} undoes the multiplication by 324m^{2}.

$$c=\frac{x^{2}}{324m^{2}}$$

Solve for c

$$\left\{\begin{matrix}c=\frac{\left(\frac{x}{m}\right)^{2}}{324}\text{, }&m\neq 0\\c\in \mathrm{R}\text{, }&x=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$324cm^{2}=xx$$

Multiply x and x to get x^{2}.

$$324cm^{2}=x^{2}$$

The equation is in standard form.

$$324m^{2}c=x^{2}$$

Divide both sides by 324m^{2}.

$$\frac{324m^{2}c}{324m^{2}}=\frac{x^{2}}{324m^{2}}$$

Dividing by 324m^{2} undoes the multiplication by 324m^{2}.

$$c=\frac{x^{2}}{324m^{2}}$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=-\frac{c^{-\frac{1}{2}}x}{18}\text{; }m=\frac{c^{-\frac{1}{2}}x}{18}\text{, }&c\neq 0\\m\in \mathrm{C}\text{, }&x=0\text{ and }c=0\end{matrix}\right.$$

Solve for m

$$\left\{\begin{matrix}m=\frac{x}{18\sqrt{c}}\text{; }m=-\frac{x}{18\sqrt{c}}\text{, }&c>0\\m=0\text{, }&x=0\text{ and }c\neq 0\\m\in \mathrm{R}\text{, }&x=0\text{ and }c=0\end{matrix}\right.$$