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