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Simplifying 14n2 + 40n = 0 Reorder the terms: 40n + 14n2 = 0 Solving 40n + 14n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(20 + 7n) = 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 '(20 + 7n)' equal to zero and attempt to solve: Simplifying 20 + 7n = 0 Solving 20 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7n = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 7n = 0 + -20 7n = 0 + -20 Combine like terms: 0 + -20 = -20 7n = -20 Divide each side by '7'. n = -2.857142857 Simplifying n = -2.857142857Solution
n = {0, -2.857142857}
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