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Simplifying 12n2 + 11n + -36 = 0 Reorder the terms: -36 + 11n + 12n2 = 0 Solving -36 + 11n + 12n2 = 0 Solving for variable 'n'. Factor a trinomial. (-9 + -4n)(4 + -3n) = 0Subproblem 1
Set the factor '(-9 + -4n)' equal to zero and attempt to solve: Simplifying -9 + -4n = 0 Solving -9 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4n = 0 + 9 -4n = 0 + 9 Combine like terms: 0 + 9 = 9 -4n = 9 Divide each side by '-4'. n = -2.25 Simplifying n = -2.25Subproblem 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 = {-2.25, 1.333333333}
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