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Simplifying -9n2 + -6n + -1 = 0 Reorder the terms: -1 + -6n + -9n2 = 0 Solving -1 + -6n + -9n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 6n + 9n2) = 0 Factor a trinomial. -1((1 + 3n)(1 + 3n)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 3n)' equal to zero and attempt to solve: Simplifying 1 + 3n = 0 Solving 1 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3n = 0 + -1 3n = 0 + -1 Combine like terms: 0 + -1 = -1 3n = -1 Divide each side by '3'. n = -0.3333333333 Simplifying n = -0.3333333333Subproblem 2
Set the factor '(1 + 3n)' equal to zero and attempt to solve: Simplifying 1 + 3n = 0 Solving 1 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3n = 0 + -1 3n = 0 + -1 Combine like terms: 0 + -1 = -1 3n = -1 Divide each side by '3'. n = -0.3333333333 Simplifying n = -0.3333333333Solution
n = {-0.3333333333, -0.3333333333}
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