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Simplifying 3n2 + -4n + -480 = 0 Reorder the terms: -480 + -4n + 3n2 = 0 Solving -480 + -4n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (-12 + -1n)(40 + -3n) = 0Subproblem 1
Set the factor '(-12 + -1n)' equal to zero and attempt to solve: Simplifying -12 + -1n = 0 Solving -12 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1n = 0 + 12 -1n = 0 + 12 Combine like terms: 0 + 12 = 12 -1n = 12 Divide each side by '-1'. n = -12 Simplifying n = -12Subproblem 2
Set the factor '(40 + -3n)' equal to zero and attempt to solve: Simplifying 40 + -3n = 0 Solving 40 + -3n = 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 + -3n = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -3n = 0 + -40 -3n = 0 + -40 Combine like terms: 0 + -40 = -40 -3n = -40 Divide each side by '-3'. n = 13.33333333 Simplifying n = 13.33333333Solution
n = {-12, 13.33333333}
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