#### Answer

{-1, 3/5}

#### Work Step by Step

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