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Simplifying -9n2 + -32n + -15 = 0 Reorder the terms: -15 + -32n + -9n2 = 0 Solving -15 + -32n + -9n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 32n + 9n2) = 0 Factor a trinomial. -1((3 + n)(5 + 9n)) = 0 Ignore the factor -1.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 '(5 + 9n)' equal to zero and attempt to solve: Simplifying 5 + 9n = 0 Solving 5 + 9n = 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 + 9n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9n = 0 + -5 9n = 0 + -5 Combine like terms: 0 + -5 = -5 9n = -5 Divide each side by '9'. n = -0.5555555556 Simplifying n = -0.5555555556Solution
n = {-3, -0.5555555556}
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