Question 89207
2x^2 + 3x - 5 = 0
2x^2 + 5x - 2x - 5 = 0  ...   being 5 and -2 are factors of 2*-5 that sum to 3
(2x^2 + 5x) + (-2x - 5) = 0
x(2x + 5) - (2x + 5) = 0
(x - 1)(2x + 5) = 0
x = 1 and x = -5/2