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Simplifying 5n2 = -24 + 26n Solving 5n2 = -24 + 26n Solving for variable 'n'. Reorder the terms: 24 + -26n + 5n2 = -24 + 26n + 24 + -26n Reorder the terms: 24 + -26n + 5n2 = -24 + 24 + 26n + -26n Combine like terms: -24 + 24 = 0 24 + -26n + 5n2 = 0 + 26n + -26n 24 + -26n + 5n2 = 26n + -26n Combine like terms: 26n + -26n = 0 24 + -26n + 5n2 = 0 Factor a trinomial. (6 + -5n)(4 + -1n) = 0Subproblem 1
Set the factor '(6 + -5n)' equal to zero and attempt to solve: Simplifying 6 + -5n = 0 Solving 6 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5n = 0 + -6 -5n = 0 + -6 Combine like terms: 0 + -6 = -6 -5n = -6 Divide each side by '-5'. n = 1.2 Simplifying n = 1.2Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 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 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4Solution
n = {1.2, 4}
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