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Simplifying n2 + 18n + 65 = 9 Reorder the terms: 65 + 18n + n2 = 9 Solving 65 + 18n + n2 = 9 Solving for variable 'n'. Reorder the terms: 65 + -9 + 18n + n2 = 9 + -9 Combine like terms: 65 + -9 = 56 56 + 18n + n2 = 9 + -9 Combine like terms: 9 + -9 = 0 56 + 18n + n2 = 0 Factor a trinomial. (14 + n)(4 + n) = 0Subproblem 1
Set the factor '(14 + n)' equal to zero and attempt to solve: Simplifying 14 + n = 0 Solving 14 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + n = 0 + -14 n = 0 + -14 Combine like terms: 0 + -14 = -14 n = -14 Simplifying n = -14Subproblem 2
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 = -4Solution
n = {-14, -4}
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