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Simplifying 5n2 + 33n = -40 Reorder the terms: 33n + 5n2 = -40 Solving 33n + 5n2 = -40 Solving for variable 'n'. Reorder the terms: 40 + 33n + 5n2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + 33n + 5n2 = 0 Factor a trinomial. (5 + n)(8 + 5n) = 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 + 5n)' equal to zero and attempt to solve: Simplifying 8 + 5n = 0 Solving 8 + 5n = 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 + 5n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5n = 0 + -8 5n = 0 + -8 Combine like terms: 0 + -8 = -8 5n = -8 Divide each side by '5'. n = -1.6 Simplifying n = -1.6Solution
n = {-5, -1.6}
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