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