Solve 2x^2=3m

$$2 x ^ { 2 } = 3 m$$

Solve for m

$$m=\frac{2x^{2}}{3}$$

Steps for Solving Linear Equation

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

$$3m=2x^{2}$$

Divide both sides by 3.

$$\frac{3m}{3}=\frac{2x^{2}}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$m=\frac{2x^{2}}{3}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{6m}}{2}$$

$$x=\frac{\sqrt{6m}}{2}$$

Solve for x

$$x=\frac{\sqrt{6m}}{2}$$

$$x=-\frac{\sqrt{6m}}{2}\text{, }m\geq 0$$