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Simplifying n2 + 24n + -880 = 0 Reorder the terms: -880 + 24n + n2 = 0 Solving -880 + 24n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-44 + -1n)(20 + -1n) = 0Subproblem 1
Set the factor '(-44 + -1n)' equal to zero and attempt to solve: Simplifying -44 + -1n = 0 Solving -44 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -1n = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -1n = 0 + 44 -1n = 0 + 44 Combine like terms: 0 + 44 = 44 -1n = 44 Divide each side by '-1'. n = -44 Simplifying n = -44Subproblem 2
Set the factor '(20 + -1n)' equal to zero and attempt to solve: Simplifying 20 + -1n = 0 Solving 20 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1n = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1n = 0 + -20 -1n = 0 + -20 Combine like terms: 0 + -20 = -20 -1n = -20 Divide each side by '-1'. n = 20 Simplifying n = 20Solution
n = {-44, 20}
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