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Simplifying F(0) = 5n2 + 4n Reorder the terms for easier multiplication: 0F = 5n2 + 4n Anything times zero is zero. 0F = 5n2 + 4n Reorder the terms: 0 = 4n + 5n2 Solving 0 = 4n + 5n2 Solving for variable 'n'. Remove the zero: -4n + -5n2 = 4n + 5n2 + -4n + -5n2 Reorder the terms: -4n + -5n2 = 4n + -4n + 5n2 + -5n2 Combine like terms: 4n + -4n = 0 -4n + -5n2 = 0 + 5n2 + -5n2 -4n + -5n2 = 5n2 + -5n2 Combine like terms: 5n2 + -5n2 = 0 -4n + -5n2 = 0 Factor out the Greatest Common Factor (GCF), '-1n'. -1n(4 + 5n) = 0 Ignore the factor -1.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 '(4 + 5n)' equal to zero and attempt to solve: Simplifying 4 + 5n = 0 Solving 4 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5n = 0 + -4 5n = 0 + -4 Combine like terms: 0 + -4 = -4 5n = -4 Divide each side by '5'. n = -0.8 Simplifying n = -0.8Solution
n = {0, -0.8}
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