You can factor this equation, but first you have to get rid of the factor 2 in front of the x². So after dividing by 2 we get:
x² - 5/2 x + 1 = 0
now we're looking for two numbers that, when multiplied, give 1, and when added, give -5/2. Those numbers are -2 and -1/2 (this is the hard part, it is kind of trial and error. Usually you want to do this only on integers).
So we can factor as:
(x-2)(x-1/2) = 0
The solutions are x=2 or x=1/2