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Simplifying 20n2 + 52n = 0 Reorder the terms: 52n + 20n2 = 0 Solving 52n + 20n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '4n'. 4n(13 + 5n) = 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 '(13 + 5n)' equal to zero and attempt to solve: Simplifying 13 + 5n = 0 Solving 13 + 5n = 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 + 5n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5n = 0 + -13 5n = 0 + -13 Combine like terms: 0 + -13 = -13 5n = -13 Divide each side by '5'. n = -2.6 Simplifying n = -2.6Solution
n = {0, -2.6}
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