Solve the equation by factoring.
-(x + 10)(x - 4) = -13
A) {-9, 3}
B) {3, 9}
C) {10, -4}
D) {-10, 4}

Name: Solve the equation by factoring. -(x + 10)(x - 4) = -13 A) {-9, 3} B) {3, 9} C) {10, -4} D) {-10, 4}
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Question

Quizplus · Accepted Answer

First, expand the left side: $x^2 + 6x - 40 = -13$. Then, add 13 to both sides to get $x^2 + 6x - 27 = 0$. Factoring this quadratic equation, we find $(x + 9)(x - 3) = 0$, which gives the solutions $x = -9$ and $x = 3$.

Solve the Equation by Factoring