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Simplifying 8n(-2n + 5) = 25 Reorder the terms: 8n(5 + -2n) = 25 (5 * 8n + -2n * 8n) = 25 (40n + -16n2) = 25 Solving 40n + -16n2 = 25 Solving for variable 'n'. Reorder the terms: -25 + 40n + -16n2 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + 40n + -16n2 = 0 Factor a trinomial. (-5 + 4n)(5 + -4n) = 0Subproblem 1
Set the factor '(-5 + 4n)' equal to zero and attempt to solve: Simplifying -5 + 4n = 0 Solving -5 + 4n = 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 + 4n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4n = 0 + 5 4n = 0 + 5 Combine like terms: 0 + 5 = 5 4n = 5 Divide each side by '4'. n = 1.25 Simplifying n = 1.25Subproblem 2
Set the factor '(5 + -4n)' equal to zero and attempt to solve: Simplifying 5 + -4n = 0 Solving 5 + -4n = 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 + -4n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4n = 0 + -5 -4n = 0 + -5 Combine like terms: 0 + -5 = -5 -4n = -5 Divide each side by '-4'. n = 1.25 Simplifying n = 1.25Solution
n = {1.25, 1.25}
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