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Simplifying 3n2 + 7n = 880 Reorder the terms: 7n + 3n2 = 880 Solving 7n + 3n2 = 880 Solving for variable 'n'. Reorder the terms: -880 + 7n + 3n2 = 880 + -880 Combine like terms: 880 + -880 = 0 -880 + 7n + 3n2 = 0 Factor a trinomial. (-55 + -3n)(16 + -1n) = 0Subproblem 1
Set the factor '(-55 + -3n)' equal to zero and attempt to solve: Simplifying -55 + -3n = 0 Solving -55 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -3n = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -3n = 0 + 55 -3n = 0 + 55 Combine like terms: 0 + 55 = 55 -3n = 55 Divide each side by '-3'. n = -18.33333333 Simplifying n = -18.33333333Subproblem 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 = {-18.33333333, 16}
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