To solve the equation x^2 - 2x = 0, we first factor out an x:

x(x - 2) = 0

Now, we know that a product of factors is equal to zero if at least one of the factors is zero. Therefore, we set each factor to zero:

x = 0 or x - 2 = 0

Solving for x in the second equation, we get:

x = 2

So the solutions to the equation x^2 - 2x = 0 are x = 0 and x = 2.