Solve y^3-22x+124=0

$$y ^ { 3 } - 22 x + 124 = 0$$

Solve for x

$$x=\frac{y^{3}+124}{22}$$

Steps for Solving Linear Equation

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

$$-22x+124=-y^{3}$$

Subtract 124 from both sides.

$$-22x=-y^{3}-124$$

Divide both sides by -22.

$$\frac{-22x}{-22}=\frac{-y^{3}-124}{-22}$$

Dividing by -22 undoes the multiplication by -22.

$$x=\frac{-y^{3}-124}{-22}$$

Divide -y^{3}-124 by -22.

$$x=\frac{y^{3}}{22}+\frac{62}{11}$$

Solve for y (complex solution)

$$y=e^{\frac{2\pi i}{3}}\sqrt[3]{22x-124}$$

$$y=\sqrt[3]{22x-124}$$

$$y=e^{\frac{4\pi i}{3}}\sqrt[3]{22x-124}$$

Solve for y

$$y=\sqrt[3]{22x-124}$$