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Simplifying 3n4 + 27n2 = 0 Reorder the terms: 27n2 + 3n4 = 0 Solving 27n2 + 3n4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n2'. 3n2(9 + n2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve: Simplifying n2 = 0 Solving n2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n2 = 0 Take the square root of each side: n = {0}Subproblem 2
Set the factor '(9 + n2)' equal to zero and attempt to solve: Simplifying 9 + n2 = 0 Solving 9 + n2 = 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 + n2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + n2 = 0 + -9 n2 = 0 + -9 Combine like terms: 0 + -9 = -9 n2 = -9 Simplifying n2 = -9 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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