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Simplifying 0 = n2 + -10n + 9 Reorder the terms: 0 = 9 + -10n + n2 Solving 0 = 9 + -10n + n2 Solving for variable 'n'. Combine like terms: 0 + -9 = -9 -9 + 10n + -1n2 = 9 + -10n + n2 + -9 + 10n + -1n2 Reorder the terms: -9 + 10n + -1n2 = 9 + -9 + -10n + 10n + n2 + -1n2 Combine like terms: 9 + -9 = 0 -9 + 10n + -1n2 = 0 + -10n + 10n + n2 + -1n2 -9 + 10n + -1n2 = -10n + 10n + n2 + -1n2 Combine like terms: -10n + 10n = 0 -9 + 10n + -1n2 = 0 + n2 + -1n2 -9 + 10n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 -9 + 10n + -1n2 = 0 Factor a trinomial. (-9 + n)(1 + -1n) = 0Subproblem 1
Set the factor '(-9 + n)' equal to zero and attempt to solve: Simplifying -9 + n = 0 Solving -9 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + n = 0 + 9 n = 0 + 9 Combine like terms: 0 + 9 = 9 n = 9 Simplifying n = 9Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {9, 1}
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