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Simplifying 5n2 + 23n + 15 = -9 Reorder the terms: 15 + 23n + 5n2 = -9 Solving 15 + 23n + 5n2 = -9 Solving for variable 'n'. Reorder the terms: 15 + 9 + 23n + 5n2 = -9 + 9 Combine like terms: 15 + 9 = 24 24 + 23n + 5n2 = -9 + 9 Combine like terms: -9 + 9 = 0 24 + 23n + 5n2 = 0 Factor a trinomial. (3 + n)(8 + 5n) = 0Subproblem 1
Set the factor '(3 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 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 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Subproblem 2
Set the factor '(8 + 5n)' equal to zero and attempt to solve: Simplifying 8 + 5n = 0 Solving 8 + 5n = 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 + 5n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5n = 0 + -8 5n = 0 + -8 Combine like terms: 0 + -8 = -8 5n = -8 Divide each side by '5'. n = -1.6 Simplifying n = -1.6Solution
n = {-3, -1.6}
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