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Simplifying 3n2 + 37n + -1360 = 0 Reorder the terms: -1360 + 37n + 3n2 = 0 Solving -1360 + 37n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (-85 + -3n)(16 + -1n) = 0Subproblem 1
Set the factor '(-85 + -3n)' equal to zero and attempt to solve: Simplifying -85 + -3n = 0 Solving -85 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + -3n = 0 + 85 Combine like terms: -85 + 85 = 0 0 + -3n = 0 + 85 -3n = 0 + 85 Combine like terms: 0 + 85 = 85 -3n = 85 Divide each side by '-3'. n = -28.33333333 Simplifying n = -28.33333333Subproblem 2
Set the factor '(16 + -1n)' equal to zero and attempt to solve: Simplifying 16 + -1n = 0 Solving 16 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1n = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1n = 0 + -16 -1n = 0 + -16 Combine like terms: 0 + -16 = -16 -1n = -16 Divide each side by '-1'. n = 16 Simplifying n = 16Solution
n = {-28.33333333, 16}
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