Hey can you me posted picture of question

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.