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Simplifying 2n4 + -27n2 = -3n2 Reorder the terms: -27n2 + 2n4 = -3n2 Solving -27n2 + 2n4 = -3n2 Solving for variable 'n'. Reorder the terms: -27n2 + 3n2 + 2n4 = -3n2 + 3n2 Combine like terms: -27n2 + 3n2 = -24n2 -24n2 + 2n4 = -3n2 + 3n2 Combine like terms: -3n2 + 3n2 = 0 -24n2 + 2n4 = 0 Factor out the Greatest Common Factor (GCF), '2n2'. 2n2(-12 + n2) = 0 Ignore the factor 2.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 '(-12 + n2)' equal to zero and attempt to solve: Simplifying -12 + n2 = 0 Solving -12 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + n2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + n2 = 0 + 12 n2 = 0 + 12 Combine like terms: 0 + 12 = 12 n2 = 12 Simplifying n2 = 12 Take the square root of each side: n = {-3.464101615, 3.464101615}Solution
n = {0, -3.464101615, 3.464101615}
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