Write a quadratic equation that can be factored. Factor that equation and solve it.

Quadratic equation: x^2 - 5x + 6 = 0

Factored form: (x - 2)(x - 3) = 0

Solving for x:
x - 2 = 0 -> x = 2
x - 3 = 0 -> x = 3

Therefore, the solutions to the quadratic equation x^2 - 5x + 6 = 0 are x = 2 and x = 3.