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Simplifying 52n2 + 8n = 0 Reorder the terms: 8n + 52n2 = 0 Solving 8n + 52n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '4n'. 4n(2 + 13n) = 0 Ignore the factor 4.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 '(2 + 13n)' equal to zero and attempt to solve: Simplifying 2 + 13n = 0 Solving 2 + 13n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 13n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 13n = 0 + -2 13n = 0 + -2 Combine like terms: 0 + -2 = -2 13n = -2 Divide each side by '13'. n = -0.1538461538 Simplifying n = -0.1538461538Solution
n = {0, -0.1538461538}
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