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Simplifying n2 + 13n + 32 = -8 Reorder the terms: 32 + 13n + n2 = -8 Solving 32 + 13n + n2 = -8 Solving for variable 'n'. Reorder the terms: 32 + 8 + 13n + n2 = -8 + 8 Combine like terms: 32 + 8 = 40 40 + 13n + n2 = -8 + 8 Combine like terms: -8 + 8 = 0 40 + 13n + n2 = 0 Factor a trinomial. (8 + n)(5 + n) = 0Subproblem 1
Set the factor '(8 + n)' equal to zero and attempt to solve: Simplifying 8 + n = 0 Solving 8 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + n = 0 + -8 n = 0 + -8 Combine like terms: 0 + -8 = -8 n = -8 Simplifying n = -8Subproblem 2
Set the factor '(5 + n)' equal to zero and attempt to solve: Simplifying 5 + n = 0 Solving 5 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n = 0 + -5 n = 0 + -5 Combine like terms: 0 + -5 = -5 n = -5 Simplifying n = -5Solution
n = {-8, -5}
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