Answer
{-1, -1/6, 1}
Work Step by Step
1. Make sure all factors are fully factored.
$x^{2}$ - 1 = (x + 1)(x - 1)
2. Apply the zero factor property.
a) x + 1 = 0
b) x - 1 = 0
c) 6x + 1 = 0
3. Solve each linear equation.
a) x = -1
b) x = 1
c) x = -1/6
The solutions are {-1, -1/6, 1}.
