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Simplifying n(-8n + 8) + 5(n + -1) = 0 Reorder the terms: n(8 + -8n) + 5(n + -1) = 0 (8 * n + -8n * n) + 5(n + -1) = 0 (8n + -8n2) + 5(n + -1) = 0 Reorder the terms: 8n + -8n2 + 5(-1 + n) = 0 8n + -8n2 + (-1 * 5 + n * 5) = 0 8n + -8n2 + (-5 + 5n) = 0 Reorder the terms: -5 + 8n + 5n + -8n2 = 0 Combine like terms: 8n + 5n = 13n -5 + 13n + -8n2 = 0 Solving -5 + 13n + -8n2 = 0 Solving for variable 'n'. Factor a trinomial. (-1 + n)(5 + -8n) = 0Subproblem 1
Set the factor '(-1 + n)' equal to zero and attempt to solve: Simplifying -1 + n = 0 Solving -1 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + n = 0 + 1 n = 0 + 1 Combine like terms: 0 + 1 = 1 n = 1 Simplifying n = 1Subproblem 2
Set the factor '(5 + -8n)' equal to zero and attempt to solve: Simplifying 5 + -8n = 0 Solving 5 + -8n = 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 + -8n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8n = 0 + -5 -8n = 0 + -5 Combine like terms: 0 + -5 = -5 -8n = -5 Divide each side by '-8'. n = 0.625 Simplifying n = 0.625Solution
n = {1, 0.625}
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