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Simplifying (5n + -2n3) + (6n3 + 4n) = 0 Remove parenthesis around (5n + -2n3) 5n + -2n3 + (6n3 + 4n) = 0 Reorder the terms: 5n + -2n3 + (4n + 6n3) = 0 Remove parenthesis around (4n + 6n3) 5n + -2n3 + 4n + 6n3 = 0 Reorder the terms: 5n + 4n + -2n3 + 6n3 = 0 Combine like terms: 5n + 4n = 9n 9n + -2n3 + 6n3 = 0 Combine like terms: -2n3 + 6n3 = 4n3 9n + 4n3 = 0 Solving 9n + 4n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(9 + 4n2) = 0Subproblem 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 '(9 + 4n2)' equal to zero and attempt to solve: Simplifying 9 + 4n2 = 0 Solving 9 + 4n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4n2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4n2 = 0 + -9 4n2 = 0 + -9 Combine like terms: 0 + -9 = -9 4n2 = -9 Divide each side by '4'. n2 = -2.25 Simplifying n2 = -2.25 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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