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Simplifying 8n2 + 26n = 0 Reorder the terms: 26n + 8n2 = 0 Solving 26n + 8n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(13 + 4n) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(13 + 4n)' equal to zero and attempt to solve: Simplifying 13 + 4n = 0 Solving 13 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4n = 0 + -13 4n = 0 + -13 Combine like terms: 0 + -13 = -13 4n = -13 Divide each side by '4'. n = -3.25 Simplifying n = -3.25Solution
n = {0, -3.25}
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