X² - x = 0

To solve the equation x² - x = 0, we can factor out x.

x(x - 1) = 0

Now, we can set each factor equal to zero:

x = 0 or x - 1 = 0

For x = 0, the equation holds true. For x - 1 = 0, we add 1 to both sides to isolate x: x = 1.

Therefore, the solutions to the equation x² - x = 0 are x = 0 and x = 1.