Answer
{-7, 1}
Work Step by Step
1. Factor the equation.
$x^{2}$ + 6x - 7 = 0
(x + 7)(x - 1) = 0
2. Apply the zero factor principle.
a) x + 7 = 0
b) x - 1 = 0
3. Solve each equation.
a) x = -7
b) x = 1
The solutions are {-7, 1}.
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