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Simplifying 3n2 + -11n + -14 = 6 Reorder the terms: -14 + -11n + 3n2 = 6 Solving -14 + -11n + 3n2 = 6 Solving for variable 'n'. Reorder the terms: -14 + -6 + -11n + 3n2 = 6 + -6 Combine like terms: -14 + -6 = -20 -20 + -11n + 3n2 = 6 + -6 Combine like terms: 6 + -6 = 0 -20 + -11n + 3n2 = 0 Factor a trinomial. (-4 + -3n)(5 + -1n) = 0Subproblem 1
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 = -1.333333333Subproblem 2
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 = 5Solution
n = {-1.333333333, 5}
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