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Simplifying -5n2 + 11n = -124 Reorder the terms: 11n + -5n2 = -124 Solving 11n + -5n2 = -124 Solving for variable 'n'. Reorder the terms: 124 + 11n + -5n2 = -124 + 124 Combine like terms: -124 + 124 = 0 124 + 11n + -5n2 = 0 Factor a trinomial. (31 + -5n)(4 + n) = 0Subproblem 1
Set the factor '(31 + -5n)' equal to zero and attempt to solve: Simplifying 31 + -5n = 0 Solving 31 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -5n = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -5n = 0 + -31 -5n = 0 + -31 Combine like terms: 0 + -31 = -31 -5n = -31 Divide each side by '-5'. n = 6.2 Simplifying n = 6.2Subproblem 2
Set the factor '(4 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Simplifying n = -4Solution
n = {6.2, -4}
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