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Simplifying f(0) = 5n2 + 3n Reorder the terms for easier multiplication: 0f = 5n2 + 3n Anything times zero is zero. 0f = 5n2 + 3n Reorder the terms: 0 = 3n + 5n2 Solving 0 = 3n + 5n2 Solving for variable 'n'. Remove the zero: -3n + -5n2 = 3n + 5n2 + -3n + -5n2 Reorder the terms: -3n + -5n2 = 3n + -3n + 5n2 + -5n2 Combine like terms: 3n + -3n = 0 -3n + -5n2 = 0 + 5n2 + -5n2 -3n + -5n2 = 5n2 + -5n2 Combine like terms: 5n2 + -5n2 = 0 -3n + -5n2 = 0 Factor out the Greatest Common Factor (GCF), '-1n'. -1n(3 + 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 '(3 + 5n)' equal to zero and attempt to solve: Simplifying 3 + 5n = 0 Solving 3 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5n = 0 + -3 5n = 0 + -3 Combine like terms: 0 + -3 = -3 5n = -3 Divide each side by '5'. n = -0.6 Simplifying n = -0.6Solution
n = {0, -0.6}
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