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Simplifying n2 + -18n + -88 = 0 Reorder the terms: -88 + -18n + n2 = 0 Solving -88 + -18n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-4 + -1n)(22 + -1n) = 0Subproblem 1
Set the factor '(-4 + -1n)' equal to zero and attempt to solve: Simplifying -4 + -1n = 0 Solving -4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1n = 0 + 4 -1n = 0 + 4 Combine like terms: 0 + 4 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4Subproblem 2
Set the factor '(22 + -1n)' equal to zero and attempt to solve: Simplifying 22 + -1n = 0 Solving 22 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1n = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1n = 0 + -22 -1n = 0 + -22 Combine like terms: 0 + -22 = -22 -1n = -22 Divide each side by '-1'. n = 22 Simplifying n = 22Solution
n = {-4, 22}
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