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Simplifying 2n + 3n2 = 4880 Solving 2n + 3n2 = 4880 Solving for variable 'n'. Reorder the terms: -4880 + 2n + 3n2 = 4880 + -4880 Combine like terms: 4880 + -4880 = 0 -4880 + 2n + 3n2 = 0 Factor a trinomial. (-122 + -3n)(40 + -1n) = 0Subproblem 1
Set the factor '(-122 + -3n)' equal to zero and attempt to solve: Simplifying -122 + -3n = 0 Solving -122 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '122' to each side of the equation. -122 + 122 + -3n = 0 + 122 Combine like terms: -122 + 122 = 0 0 + -3n = 0 + 122 -3n = 0 + 122 Combine like terms: 0 + 122 = 122 -3n = 122 Divide each side by '-3'. n = -40.66666667 Simplifying n = -40.66666667Subproblem 2
Set the factor '(40 + -1n)' equal to zero and attempt to solve: Simplifying 40 + -1n = 0 Solving 40 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1n = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1n = 0 + -40 -1n = 0 + -40 Combine like terms: 0 + -40 = -40 -1n = -40 Divide each side by '-1'. n = 40 Simplifying n = 40Solution
n = {-40.66666667, 40}
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