X² - x = 0

To solve the equation x² - x = 0, we can factor out x from both terms:

x(x - 1) = 0

Now we have two factors: x and (x - 1).

To satisfy the equation, either x = 0 or x - 1 = 0.

If x = 0, then the equation is satisfied.

If x - 1 = 0, we add 1 to both sides and get x = 1.

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