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Simplifying n2 + 10n + 25 = 9 Reorder the terms: 25 + 10n + n2 = 9 Solving 25 + 10n + n2 = 9 Solving for variable 'n'. Reorder the terms: 25 + -9 + 10n + n2 = 9 + -9 Combine like terms: 25 + -9 = 16 16 + 10n + n2 = 9 + -9 Combine like terms: 9 + -9 = 0 16 + 10n + n2 = 0 Factor a trinomial. (8 + n)(2 + n) = 0Subproblem 1
Set the factor '(8 + n)' equal to zero and attempt to solve: Simplifying 8 + n = 0 Solving 8 + n = 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 + n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + n = 0 + -8 n = 0 + -8 Combine like terms: 0 + -8 = -8 n = -8 Simplifying n = -8Subproblem 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 = {-8, -2}
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