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Simplifying 6n5 = 12n3 Solving 6n5 = 12n3 Solving for variable 'n'. Reorder the terms: -12n3 + 6n5 = 12n3 + -12n3 Combine like terms: 12n3 + -12n3 = 0 -12n3 + 6n5 = 0 Factor out the Greatest Common Factor (GCF), '6n3'. 6n3(-2 + n2) = 0 Ignore the factor 6.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 '(-2 + n2)' equal to zero and attempt to solve: Simplifying -2 + n2 = 0 Solving -2 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + n2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + n2 = 0 + 2 n2 = 0 + 2 Combine like terms: 0 + 2 = 2 n2 = 2 Simplifying n2 = 2 Take the square root of each side: n = {-1.414213562, 1.414213562}Solution
n = {-1.414213562, 1.414213562}
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