Solve x^3-2y=4

$$x ^ { 3 } - 2 y = 4$$

Solve for y

$$y=\frac{x^{3}-4}{2}$$

Steps for Solving Linear Equation

Subtract x^{3} from both sides.

$$-2y=4-x^{3}$$

Divide both sides by -2.

$$\frac{-2y}{-2}=\frac{4-x^{3}}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$y=\frac{4-x^{3}}{-2}$$

Divide 4-x^{3} by -2.

$$y=\frac{x^{3}}{2}-2$$

Solve for x (complex solution)

$$x=e^{\frac{2\pi i}{3}}\sqrt[3]{2\left(y+2\right)}$$

$$x=\sqrt[3]{2\left(y+2\right)}$$

$$x=e^{\frac{4\pi i}{3}}\sqrt[3]{2\left(y+2\right)}$$

Solve for x

$$x=\sqrt[3]{2\left(y+2\right)}$$