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.

No, the two solutions for x do not have to be the same number. In this equation, x^2 - x = 0, there are two possible solutions for x: x=0 and x=1.

To solve it, you can factor out an x from the equation, which gives you:
x(x-1) = 0
For the product to be equal to zero, either x or (x-1) must equal zero.
So, x=0 is one solution and (x-1)=0, which gives you x=1 as the second solution.
Therefore, the solutions to this equation are x=0 and x=1.