Solve 2y-8x^3=0

$$2 y - 8 x ^ { 3 } = 0$$

Solve for y

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

Steps for Solving Linear Equation

Add 8x^{3} to both sides. Anything plus zero gives itself.

$$2y=8x^{3}$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{8x^{3}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{8x^{3}}{2}$$

Divide 8x^{3} by 2.

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

Solve for x (complex solution)

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

$$x=\frac{4^{\frac{2}{3}}\sqrt[3]{y}}{4}$$

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

Solve for x

$$x=\frac{4^{\frac{2}{3}}\sqrt[3]{y}}{4}$$