Solve 2q*xm^2/l^2=0

$$\frac { 2 q \cdot x m ^ { 2 } } { l ^ { 2 } } = 0$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=0\text{, }&l\neq 0\\m\in \mathrm{C}\text{, }&\left(x=0\text{ or }q=0\right)\text{ and }l\neq 0\end{matrix}\right.$$

Steps by Finding Square Root

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

$$2qxm^{2}=0$$

Dividing by 2qx undoes the multiplication by 2qx.

$$m^{2}=\frac{0}{2qx}$$

Divide 0 by 2qx.

$$m^{2}=0$$

Take the square root of both sides of the equation.

$$m=0 m=0$$

The equation is now solved. Solutions are the same.

$$m=0$$

Steps Using the Quadratic Formula

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

$$2qxm^{2}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 2qx for a, 0 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$m=\frac{0±\sqrt{0^{2}}}{2\times 2qx}$$

Take the square root of 0^{2}.

$$m=\frac{0±0}{2\times 2qx}$$

Multiply 2 times 2qx.

$$m=\frac{0}{4qx}$$

Divide 0 by 4qx.

$$m=0$$

Solve for l

$$l\neq 0$$

$$m=0\text{ or }x=0\text{ or }q=0$$

Solve for m

$$\left\{\begin{matrix}m=0\text{, }&l\neq 0\\m\in \mathrm{R}\text{, }&\left(x=0\text{ or }q=0\right)\text{ and }l\neq 0\end{matrix}\right.$$