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Simplifying f(0) = 5n2 + 7n Reorder the terms for easier multiplication: 0f = 5n2 + 7n Anything times zero is zero. 0f = 5n2 + 7n Reorder the terms: 0 = 7n + 5n2 Solving 0 = 7n + 5n2 Solving for variable 'n'. Remove the zero: -7n + -5n2 = 7n + 5n2 + -7n + -5n2 Reorder the terms: -7n + -5n2 = 7n + -7n + 5n2 + -5n2 Combine like terms: 7n + -7n = 0 -7n + -5n2 = 0 + 5n2 + -5n2 -7n + -5n2 = 5n2 + -5n2 Combine like terms: 5n2 + -5n2 = 0 -7n + -5n2 = 0 Factor out the Greatest Common Factor (GCF), '-1n'. -1n(7 + 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 '(7 + 5n)' equal to zero and attempt to solve: Simplifying 7 + 5n = 0 Solving 7 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5n = 0 + -7 5n = 0 + -7 Combine like terms: 0 + -7 = -7 5n = -7 Divide each side by '5'. n = -1.4 Simplifying n = -1.4Solution
n = {0, -1.4}
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