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Simplifying n2 + 7n + -120 = 0 Reorder the terms: -120 + 7n + n2 = 0 Solving -120 + 7n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-15 + -1n)(8 + -1n) = 0Subproblem 1
Set the factor '(-15 + -1n)' equal to zero and attempt to solve: Simplifying -15 + -1n = 0 Solving -15 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1n = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1n = 0 + 15 -1n = 0 + 15 Combine like terms: 0 + 15 = 15 -1n = 15 Divide each side by '-1'. n = -15 Simplifying n = -15Subproblem 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 = {-15, 8}
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