Solve 5x^3+30y-2=100

$$5 x ^ { 3 } + 30 y - 2 = 100$$

Solve for y

$$y=-\frac{x^{3}}{6}+\frac{17}{5}$$

Steps for Solving Linear Equation

Subtract 5x^{3} from both sides.

$$30y-2=100-5x^{3}$$

Add 2 to both sides.

$$30y=100-5x^{3}+2$$

Add 100 and 2 to get 102.

$$30y=102-5x^{3}$$

Divide both sides by 30.

$$\frac{30y}{30}=\frac{102-5x^{3}}{30}$$

Dividing by 30 undoes the multiplication by 30.

$$y=\frac{102-5x^{3}}{30}$$

Divide 102-5x^{3} by 30.

$$y=-\frac{x^{3}}{6}+\frac{17}{5}$$

Solve for x (complex solution)

$$x=\frac{5^{\frac{2}{3}}e^{\frac{2i\pi }{3}}\sqrt[3]{102-30y}}{5}$$

$$x=\frac{5^{\frac{2}{3}}\sqrt[3]{102-30y}}{5}$$

$$x=\frac{5^{\frac{2}{3}}e^{\frac{4i\pi }{3}}\sqrt[3]{102-30y}}{5}$$

Solve for x

$$x=\frac{5^{\frac{2}{3}}\sqrt[3]{102-30y}}{5}$$