To solve this problem shown in the image attached, you must apply the following proccedure:
1. You have the following quadratic equation:
2x^2-2x-12=0
2. When you factor the quadratic equation shown above, you obtain:
2(x^2-x-6)=0
2(x-3)(x+2)=0
3. Then, you obtain:
(2x-6)(x+2)=0
Therefore, as you can see, the correct answer is the Option C.