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Simplifying f(0) = 3n2 + 2n Reorder the terms for easier multiplication: 0f = 3n2 + 2n Anything times zero is zero. 0f = 3n2 + 2n Reorder the terms: 0 = 2n + 3n2 Solving 0 = 2n + 3n2 Solving for variable 'n'. Remove the zero: -2n + -3n2 = 2n + 3n2 + -2n + -3n2 Reorder the terms: -2n + -3n2 = 2n + -2n + 3n2 + -3n2 Combine like terms: 2n + -2n = 0 -2n + -3n2 = 0 + 3n2 + -3n2 -2n + -3n2 = 3n2 + -3n2 Combine like terms: 3n2 + -3n2 = 0 -2n + -3n2 = 0 Factor out the Greatest Common Factor (GCF), '-1n'. -1n(2 + 3n) = 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 '(2 + 3n)' equal to zero and attempt to solve: Simplifying 2 + 3n = 0 Solving 2 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 0 + -2 3n = 0 + -2 Combine like terms: 0 + -2 = -2 3n = -2 Divide each side by '3'. n = -0.6666666667 Simplifying n = -0.6666666667Solution
n = {0, -0.6666666667}
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