Solve y=2-4+6x^3

$$y = 2 - 4 + 6 x ^ { 3 }$$

Solve for y

$$y=6x^{3}-2$$

Solution Steps

Subtract 4 from 2 to get -2.

$$y=-2+6x^{3}$$

Solve for x (complex solution)

$$x=\frac{6^{\frac{2}{3}}e^{\frac{2\pi i}{3}}\sqrt[3]{y+2}}{6}$$

$$x=\frac{6^{\frac{2}{3}}\sqrt[3]{y+2}}{6}$$

$$x=\frac{6^{\frac{2}{3}}e^{\frac{4\pi i}{3}}\sqrt[3]{y+2}}{6}$$

Solve for x

$$x=\frac{6^{\frac{2}{3}}\sqrt[3]{y+2}}{6}$$