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Simplifying 12n3 + -8n = 0 Reorder the terms: -8n + 12n3 = 0 Solving -8n + 12n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '4n'. 4n(-2 + 3n2) = 0 Ignore the factor 4.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 '(-2 + 3n2)' equal to zero and attempt to solve: Simplifying -2 + 3n2 = 0 Solving -2 + 3n2 = 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 + 3n2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3n2 = 0 + 2 3n2 = 0 + 2 Combine like terms: 0 + 2 = 2 3n2 = 2 Divide each side by '3'. n2 = 0.6666666667 Simplifying n2 = 0.6666666667 Take the square root of each side: n = {-0.816496581, 0.816496581}Solution
n = {0, -0.816496581, 0.816496581}
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