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Simplifying 6n + 5n4 + -8n + 15n4 + 12n = 0 Reorder the terms: 6n + -8n + 12n + 5n4 + 15n4 = 0 Combine like terms: 6n + -8n = -2n -2n + 12n + 5n4 + 15n4 = 0 Combine like terms: -2n + 12n = 10n 10n + 5n4 + 15n4 = 0 Combine like terms: 5n4 + 15n4 = 20n4 10n + 20n4 = 0 Solving 10n + 20n4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '10n'. 10n(1 + 2n3) = 0 Ignore the factor 10.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 '(1 + 2n3)' equal to zero and attempt to solve: Simplifying 1 + 2n3 = 0 Solving 1 + 2n3 = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2n3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2n3 = 0 + -1 2n3 = 0 + -1 Combine like terms: 0 + -1 = -1 2n3 = -1 Divide each side by '2'. n3 = -0.5 Simplifying n3 = -0.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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