how do i slove this equation??

x ^2 – x = 0

First you can factor it.

x(x-1) = 0

In order for their product to = 0, one of the two terms, x or x-1, must be 0. What does that leave you for the other possible value of x?

I hope this helps. Thanks for asking.

doesnt the two solutions x have 2 be the same number??

No. Thanks for asking.