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Simplifying n2 + 15n + 26 = 0 Reorder the terms: 26 + 15n + n2 = 0 Solving 26 + 15n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (13 + n)(2 + n) = 0Subproblem 1
Set the factor '(13 + n)' equal to zero and attempt to solve: Simplifying 13 + n = 0 Solving 13 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + n = 0 + -13 n = 0 + -13 Combine like terms: 0 + -13 = -13 n = -13 Simplifying n = -13Subproblem 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 = {-13, -2}
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