Morgan C. answered 07/19/19
Junior at UD. Studying Biology, Chemistry and Nutrition!
x2 + 14x + 48 = 0
a b c
(x + 6)(x + 8) = 0
You want to consider what two factors of c (in this case, 48) will also add up to equal b (in this case, 14). By using process of elimination we get 6*8 = 48 and 6+8 =14 validating our answer.
x = -6, x = -8
After we get (x + 6)(x + 8), we want to continue solving by equaling both equations to 0. This allows us to get x = -6, and x = -8.