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Simplifying 3n2 + 11n + -24 = -4 Reorder the terms: -24 + 11n + 3n2 = -4 Solving -24 + 11n + 3n2 = -4 Solving for variable 'n'. Reorder the terms: -24 + 4 + 11n + 3n2 = -4 + 4 Combine like terms: -24 + 4 = -20 -20 + 11n + 3n2 = -4 + 4 Combine like terms: -4 + 4 = 0 -20 + 11n + 3n2 = 0 Factor a trinomial. (-5 + -1n)(4 + -3n) = 0Subproblem 1
Set the factor '(-5 + -1n)' equal to zero and attempt to solve: Simplifying -5 + -1n = 0 Solving -5 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 0 + 5 -1n = 0 + 5 Combine like terms: 0 + 5 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5Subproblem 2
Set the factor '(4 + -3n)' equal to zero and attempt to solve: Simplifying 4 + -3n = 0 Solving 4 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = 0 + -4 -3n = 0 + -4 Combine like terms: 0 + -4 = -4 -3n = -4 Divide each side by '-3'. n = 1.333333333 Simplifying n = 1.333333333Solution
n = {-5, 1.333333333}
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