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Simplifying n2 + -29n + 120 = 0 Reorder the terms: 120 + -29n + n2 = 0 Solving 120 + -29n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (5 + -1n)(24 + -1n) = 0Subproblem 1
Set the factor '(5 + -1n)' equal to zero and attempt to solve: Simplifying 5 + -1n = 0 Solving 5 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 0 + -5 -1n = 0 + -5 Combine like terms: 0 + -5 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5Subproblem 2
Set the factor '(24 + -1n)' equal to zero and attempt to solve: Simplifying 24 + -1n = 0 Solving 24 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1n = 0 + -24 -1n = 0 + -24 Combine like terms: 0 + -24 = -24 -1n = -24 Divide each side by '-1'. n = 24 Simplifying n = 24Solution
n = {5, 24}
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