Answer
{-1, -5/8}
Work Step by Step
1. Factor the equation.
8$x^{2}$ + 13x + 5 = 0
(8x + 5)(x + 1) = 0
2. Apply the zero factor property.
a) 8x + 5 = 0
b) x + 1 = 0
3. Solve each equation.
a) x = -5/8
b) x = -1
The solutions are {-1, -5/8}.