please check and complete this problem using

factoring and zero-product property:

x^2-x-2=4
x^2-x-6=0
-3+2=-6
-3+2=-1
(x-3)(x+2=0
so either x-3=0 or ?

you should write up your solution this way:

x^2-x-2=4
x^2-x-6=0
(x-3)(x+2)= 0
x-3 = 0 OR x+2=0
x = 3 or x = -2