Multiply (x+a)(x+b) = x^2 + bx + ax + ab looking at; x^2 + 10x + 24 can you see that
ab = 24 bx + ax = 10x then a + b = 10
use substitution: a = 10 - b
(10-b)b = 24 10b - b^2 = 24 -b^2 + 10b -24 = 0 now find the values for b using the quadratic equation. I'm on my phone so you'll have to plug the numbers in. let me know if you have any questions.