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Simplifying n2 = -24 + -14n Solving n2 = -24 + -14n Solving for variable 'n'. Reorder the terms: 24 + 14n + n2 = -24 + -14n + 24 + 14n Reorder the terms: 24 + 14n + n2 = -24 + 24 + -14n + 14n Combine like terms: -24 + 24 = 0 24 + 14n + n2 = 0 + -14n + 14n 24 + 14n + n2 = -14n + 14n Combine like terms: -14n + 14n = 0 24 + 14n + n2 = 0 Factor a trinomial. (12 + n)(2 + n) = 0Subproblem 1
Set the factor '(12 + n)' equal to zero and attempt to solve: Simplifying 12 + n = 0 Solving 12 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + n = 0 + -12 n = 0 + -12 Combine like terms: 0 + -12 = -12 n = -12 Simplifying n = -12Subproblem 2
Set the factor '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2Solution
n = {-12, -2}
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