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

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

Solve for y

$$y=x^{3}+23$$

Steps for Solving Linear Equation

Calculate 5 to the power of 2 and get 25.

$$x^{3}+25-y=2$$

Subtract x^{3} from both sides.

$$25-y=2-x^{3}$$

Subtract 25 from both sides.

$$-y=2-x^{3}-25$$

Subtract 25 from 2 to get -23.

$$-y=-23-x^{3}$$

The equation is in standard form.

$$-y=-x^{3}-23$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{-x^{3}-23}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{-x^{3}-23}{-1}$$

Divide -23-x^{3} by -1.

$$y=x^{3}+23$$

Solve for x (complex solution)

$$x=e^{\frac{2\pi i}{3}}\sqrt[3]{y-23}$$

$$x=\sqrt[3]{y-23}$$

$$x=e^{\frac{4\pi i}{3}}\sqrt[3]{y-23}$$

Solve for x

$$x=\sqrt[3]{y-23}$$