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Simplifying 9n2 + 39n = -36 Reorder the terms: 39n + 9n2 = -36 Solving 39n + 9n2 = -36 Solving for variable 'n'. Reorder the terms: 36 + 39n + 9n2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + 39n + 9n2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(12 + 13n + 3n2) = 0 Factor a trinomial. 3((3 + n)(4 + 3n)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Subproblem 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 = {-3, -1.333333333}
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