Solve 2x^3-a=0

$$2 x ^ { 3 } - a = 0$$

Solve for a

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

Steps for Solving Linear Equation

Subtract 2x^{3} from both sides. Anything subtracted from zero gives its negation.

$$-a=-2x^{3}$$

Divide both sides by -1.

$$\frac{-a}{-1}=-\frac{2x^{3}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$a=-\frac{2x^{3}}{-1}$$

Divide -2x^{3} by -1.

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

Solve for x (complex solution)

$$x=\frac{2^{\frac{2}{3}}e^{\frac{2\pi i}{3}}\sqrt[3]{a}}{2}$$

$$x=\frac{2^{\frac{2}{3}}\sqrt[3]{a}}{2}$$

$$x=\frac{2^{\frac{2}{3}}e^{\frac{4\pi i}{3}}\sqrt[3]{a}}{2}$$

Solve for x

$$x=\frac{2^{\frac{2}{3}}\sqrt[3]{a}}{2}$$