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Simplifying (8n + -5)(6n + -1) = 0 Reorder the terms: (-5 + 8n)(6n + -1) = 0 Reorder the terms: (-5 + 8n)(-1 + 6n) = 0 Multiply (-5 + 8n) * (-1 + 6n) (-5(-1 + 6n) + 8n * (-1 + 6n)) = 0 ((-1 * -5 + 6n * -5) + 8n * (-1 + 6n)) = 0 ((5 + -30n) + 8n * (-1 + 6n)) = 0 (5 + -30n + (-1 * 8n + 6n * 8n)) = 0 (5 + -30n + (-8n + 48n2)) = 0 Combine like terms: -30n + -8n = -38n (5 + -38n + 48n2) = 0 Solving 5 + -38n + 48n2 = 0 Solving for variable 'n'. Factor a trinomial. (1 + -6n)(5 + -8n) = 0Subproblem 1
Set the factor '(1 + -6n)' equal to zero and attempt to solve: Simplifying 1 + -6n = 0 Solving 1 + -6n = 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 + -6n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6n = 0 + -1 -6n = 0 + -1 Combine like terms: 0 + -1 = -1 -6n = -1 Divide each side by '-6'. n = 0.1666666667 Simplifying n = 0.1666666667Subproblem 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 = {0.1666666667, 0.625}
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