What is the solution set of the equation x^2 = 2x?

The equation x² = 2x can be solved by first rearranging it into a standard quadratic form.

To do this, we can subtract 2x from both sides:

x2 - 2x = 0

Next, we can factor the left-hand side:

x(x - 2) = 0

This product is equal to zero when either factor is equal to zero. Therefore, we can set each factor to zero:

1. x = 0
2. x – 2 = 0 → x = 2

Thus, the solutions to the equation x² = 2x are:

• x = 0
• x = 2

In conclusion, the solution set of the equation x² = 2x is {0, 2}.