Which of the following are solutions to the equation below? check all that apply
x^2+4x-9=x+1
a. -4
b. -3
c. 4
d. -7
e. 2
f. -5

The solutions are:  x = -5, 2 ; 
           which are Answer choices:  [E] and [F] .

Given:

     x²  + 4x − 9 = x + 1  ;

Simplify, by subtracting "x" and "1" from EACH SIDE of the equation:

    x²  + 4x − 9 − x − 1 = x + 1 − x − 1 ;

to get:

    x²  + 3x − 10  = 0 ;

Now, we can factor the left-hand side of the equation:

      x²  + 3x − 10 = (x + 5) (x − 2); and rewrite the equation as:

  (x + 5) (x − 2) = 0 ;

The solutions are:  x = -5, 2 ; 
           which are Answer choices:  [E] and [F] .