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Simplifying 5n2 + 8n + -85 = 0 Reorder the terms: -85 + 8n + 5n2 = 0 Solving -85 + 8n + 5n2 = 0 Solving for variable 'n'. Factor a trinomial. (-5 + -1n)(17 + -5n) = 0Subproblem 1
Set the factor '(-5 + -1n)' equal to zero and attempt to solve: Simplifying -5 + -1n = 0 Solving -5 + -1n = 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 + -1n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 0 + 5 -1n = 0 + 5 Combine like terms: 0 + 5 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5Subproblem 2
Set the factor '(17 + -5n)' equal to zero and attempt to solve: Simplifying 17 + -5n = 0 Solving 17 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5n = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5n = 0 + -17 -5n = 0 + -17 Combine like terms: 0 + -17 = -17 -5n = -17 Divide each side by '-5'. n = 3.4 Simplifying n = 3.4Solution
n = {-5, 3.4}
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