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Simplifying 2n2 = -15 + -13n Solving 2n2 = -15 + -13n Solving for variable 'n'. Reorder the terms: 15 + 13n + 2n2 = -15 + -13n + 15 + 13n Reorder the terms: 15 + 13n + 2n2 = -15 + 15 + -13n + 13n Combine like terms: -15 + 15 = 0 15 + 13n + 2n2 = 0 + -13n + 13n 15 + 13n + 2n2 = -13n + 13n Combine like terms: -13n + 13n = 0 15 + 13n + 2n2 = 0 Factor a trinomial. (5 + n)(3 + 2n) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(3 + 2n)' equal to zero and attempt to solve: Simplifying 3 + 2n = 0 Solving 3 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = 0 + -3 2n = 0 + -3 Combine like terms: 0 + -3 = -3 2n = -3 Divide each side by '2'. n = -1.5 Simplifying n = -1.5Solution
n = {-5, -1.5}
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