You can put this solution on YOUR website! Starting with
x^2 - x - 6 = 0
(x + )(x - ) mixed sign due to - 6
Multiples of 6: 1,6: 2,3
Using 2,3 as the difference needs to be -1
(x+2)(x-3)
x+2=0; x = -2
x-3=0; x = 3
x = -2
x = 3
(x+2)(x-3) using FOIL to check
x^2 - 3x + 2x - 6
x^2 - x -6