x2 – 6x + 8 = 0

x^2 - 6x + 8 = (x-2)(x-4)

Since (x-2)(x-4) = 0 if and only if x = 2 or x = 4, we have:

x^2 - 6x + 8 = 0 if and only if x = 2 or x = 4.

Therefore, the solutions to the equation x^2 - 6x + 8 = 0 are x = 2 and x = 4.