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Simplifying 8n2 + -61n + -24 = 0 Reorder the terms: -24 + -61n + 8n2 = 0 Solving -24 + -61n + 8n2 = 0 Solving for variable 'n'. Factor a trinomial. (-3 + -8n)(8 + -1n) = 0Subproblem 1
Set the factor '(-3 + -8n)' equal to zero and attempt to solve: Simplifying -3 + -8n = 0 Solving -3 + -8n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8n = 0 + 3 -8n = 0 + 3 Combine like terms: 0 + 3 = 3 -8n = 3 Divide each side by '-8'. n = -0.375 Simplifying n = -0.375Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve: Simplifying 8 + -1n = 0 Solving 8 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 0 + -8 -1n = 0 + -8 Combine like terms: 0 + -8 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8Solution
n = {-0.375, 8}
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