X^3 - 8 = x - 2

Solve the equation for all values of x

X³-8=x-2: Original equation.

x³-x-6=0: Subtract x and add 2 to both sides.

(x-2) (x²+2x+3) : Factor the equation

x-2=0; x²+2x+3=0: Separate the expressions into equations

x=2: Add 2 to both sides

x²+2x+3=0: Quadratic Formula

x = 2, - 2+√-8,-2-√-8

2 2