Answer
{-2/3, 1/4}
Work Step by Step
1. Factor:
12$x^{2}$ + 5x - 2 = (4x - 1)(3x + 2)
2. Apply the zero factor property to the factored expression:
a) 4x - 1 = 0
b) 3x + 2= 0
3. Solve each linear equation:
a) x = 1/4
b) x = -2/3
The solutions are {-2/3, 1/4}.