Question 271296
x^2+2x-48=0

You will need to use Reverse FOIL
A. Set your parenthesis (excuse the lines inside, if I don't do that it will look like this () which is confusing.)

(__)(__)

B.Now ask yourself, what multiplied by what will give you x^2? x multiplied by x will give you x^2. 
When using FOIL, this would be the F in the word FOIL (First)
(x__)(x__)

C. Now ask yourself, what multiplied by what will give me -48 but added together will give me 2?
Answer: -6 multiplied by 8 will give me -48 and when you add -6+8 together you will get 2.
This step provides for the OIL in FOIL (outside, inside last)
(x-6)(x+8)=0
(If you foil that you will get your original equation.)

No set both equal to zero:
x-6=0 which is x=6
   and
x+8=0 which is x=-8

So you have:
x=6 and x=-8