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Simplifying 40n4 + n3 + 4n3 = 0 Reorder the terms: n3 + 4n3 + 40n4 = 0 Combine like terms: n3 + 4n3 = 5n3 5n3 + 40n4 = 0 Solving 5n3 + 40n4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5n3'. 5n3(1 + 8n) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'n3' equal to zero and attempt to solve: Simplifying n3 = 0 Solving n3 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 8n)' equal to zero and attempt to solve: Simplifying 1 + 8n = 0 Solving 1 + 8n = 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 + 8n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8n = 0 + -1 8n = 0 + -1 Combine like terms: 0 + -1 = -1 8n = -1 Divide each side by '8'. n = -0.125 Simplifying n = -0.125Solution
n = {-0.125}
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