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Simplifying 2n2 + 13n + 16 = -4 Reorder the terms: 16 + 13n + 2n2 = -4 Solving 16 + 13n + 2n2 = -4 Solving for variable 'n'. Reorder the terms: 16 + 4 + 13n + 2n2 = -4 + 4 Combine like terms: 16 + 4 = 20 20 + 13n + 2n2 = -4 + 4 Combine like terms: -4 + 4 = 0 20 + 13n + 2n2 = 0 Factor a trinomial. (4 + n)(5 + 2n) = 0Subproblem 1
Set the factor '(4 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Simplifying n = -4Subproblem 2
Set the factor '(5 + 2n)' equal to zero and attempt to solve: Simplifying 5 + 2n = 0 Solving 5 + 2n = 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 + 2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 0 + -5 2n = 0 + -5 Combine like terms: 0 + -5 = -5 2n = -5 Divide each side by '2'. n = -2.5 Simplifying n = -2.5Solution
n = {-4, -2.5}
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