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Simplifying 6n2 + 29n + 9 = 0 Reorder the terms: 9 + 29n + 6n2 = 0 Solving 9 + 29n + 6n2 = 0 Solving for variable 'n'. Factor a trinomial. (9 + 2n)(1 + 3n) = 0Subproblem 1
Set the factor '(9 + 2n)' equal to zero and attempt to solve: Simplifying 9 + 2n = 0 Solving 9 + 2n = 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 + 2n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2n = 0 + -9 2n = 0 + -9 Combine like terms: 0 + -9 = -9 2n = -9 Divide each side by '2'. n = -4.5 Simplifying n = -4.5Subproblem 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 = {-4.5, -0.3333333333}
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