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Simplifying n2 = -64 + -16n Solving n2 = -64 + -16n Solving for variable 'n'. Reorder the terms: 64 + 16n + n2 = -64 + -16n + 64 + 16n Reorder the terms: 64 + 16n + n2 = -64 + 64 + -16n + 16n Combine like terms: -64 + 64 = 0 64 + 16n + n2 = 0 + -16n + 16n 64 + 16n + n2 = -16n + 16n Combine like terms: -16n + 16n = 0 64 + 16n + n2 = 0 Factor a trinomial. (8 + n)(8 + 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 '(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 = -8Solution
n = {-8, -8}
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