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Simplifying 9n2 + 53n + 40 = 0 Reorder the terms: 40 + 53n + 9n2 = 0 Solving 40 + 53n + 9n2 = 0 Solving for variable 'n'. Factor a trinomial. (5 + n)(8 + 9n) = 0Subproblem 1
Set the factor '(5 + n)' equal to zero and attempt to solve: Simplifying 5 + n = 0 Solving 5 + n = 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 + n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n = 0 + -5 n = 0 + -5 Combine like terms: 0 + -5 = -5 n = -5 Simplifying n = -5Subproblem 2
Set the factor '(8 + 9n)' equal to zero and attempt to solve: Simplifying 8 + 9n = 0 Solving 8 + 9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9n = 0 + -8 9n = 0 + -8 Combine like terms: 0 + -8 = -8 9n = -8 Divide each side by '9'. n = -0.8888888889 Simplifying n = -0.8888888889Solution
n = {-5, -0.8888888889}
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