What are the solutions of the quadratic equation below? x2 + 5x - 24 = 0

Start by factoring - 24

6 * - 4 = - 24

7*-3 = - 24

you are looking for factors that add to give the middle coefficient + 5

7 and - 3 add to give 5 and multiply to give - 24

(x + 7) (x - 3) = 0

this gives the solution for x, because one or both (x + 7) and/or (x - 3) would have to be zero for them to multiply and be zero.

x = - 7

x = 3