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Simplifying 4n2 + -26n = 0 Reorder the terms: -26n + 4n2 = 0 Solving -26n + 4n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(-13 + 2n) = 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 + 2n)' equal to zero and attempt to solve: Simplifying -13 + 2n = 0 Solving -13 + 2n = 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 + 2n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2n = 0 + 13 2n = 0 + 13 Combine like terms: 0 + 13 = 13 2n = 13 Divide each side by '2'. n = 6.5 Simplifying n = 6.5Solution
n = {0, 6.5}
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