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Simplifying (4n4 + -5n) + (2n + -5n4) = 0 Reorder the terms: (-5n + 4n4) + (2n + -5n4) = 0 Remove parenthesis around (-5n + 4n4) -5n + 4n4 + (2n + -5n4) = 0 Remove parenthesis around (2n + -5n4) -5n + 4n4 + 2n + -5n4 = 0 Reorder the terms: -5n + 2n + 4n4 + -5n4 = 0 Combine like terms: -5n + 2n = -3n -3n + 4n4 + -5n4 = 0 Combine like terms: 4n4 + -5n4 = -1n4 -3n + -1n4 = 0 Solving -3n + -1n4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-1n'. -1n(3 + n3) = 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 + n3)' equal to zero and attempt to solve: Simplifying 3 + n3 = 0 Solving 3 + n3 = 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 + n3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n3 = 0 + -3 n3 = 0 + -3 Combine like terms: 0 + -3 = -3 n3 = -3 Simplifying n3 = -3 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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