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Simplifying 6n2 + -65 = -11n Reorder the terms: -65 + 6n2 = -11n Solving -65 + 6n2 = -11n Solving for variable 'n'. Reorder the terms: -65 + 11n + 6n2 = -11n + 11n Combine like terms: -11n + 11n = 0 -65 + 11n + 6n2 = 0 Factor a trinomial. (-13 + -3n)(5 + -2n) = 0Subproblem 1
Set the factor '(-13 + -3n)' equal to zero and attempt to solve: Simplifying -13 + -3n = 0 Solving -13 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -3n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3n = 0 + 13 -3n = 0 + 13 Combine like terms: 0 + 13 = 13 -3n = 13 Divide each side by '-3'. n = -4.333333333 Simplifying n = -4.333333333Subproblem 2
Set the factor '(5 + -2n)' equal to zero and attempt to solve: Simplifying 5 + -2n = 0 Solving 5 + -2n = 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 + -2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 0 + -5 -2n = 0 + -5 Combine like terms: 0 + -5 = -5 -2n = -5 Divide each side by '-2'. n = 2.5 Simplifying n = 2.5Solution
n = {-4.333333333, 2.5}
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