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Simplifying 4n3 = 6n Solving 4n3 = 6n Solving for variable 'n'. Reorder the terms: -6n + 4n3 = 6n + -6n Combine like terms: 6n + -6n = 0 -6n + 4n3 = 0 Factor out the Greatest Common Factor (GCF), '2n'. 2n(-3 + 2n2) = 0 Ignore the factor 2.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 + 2n2)' equal to zero and attempt to solve: Simplifying -3 + 2n2 = 0 Solving -3 + 2n2 = 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 + 2n2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2n2 = 0 + 3 2n2 = 0 + 3 Combine like terms: 0 + 3 = 3 2n2 = 3 Divide each side by '2'. n2 = 1.5 Simplifying n2 = 1.5 Take the square root of each side: n = {-1.224744871, 1.224744871}Solution
n = {0, -1.224744871, 1.224744871}
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