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Simplifying 6n(-2n3 + -5n) = 0 Reorder the terms: 6n(-5n + -2n3) = 0 (-5n * 6n + -2n3 * 6n) = 0 (-30n2 + -12n4) = 0 Solving -30n2 + -12n4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-6n2'. -6n2(5 + 2n2) = 0 Ignore the factor -6.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 '(5 + 2n2)' equal to zero and attempt to solve: Simplifying 5 + 2n2 = 0 Solving 5 + 2n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2n2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2n2 = 0 + -5 2n2 = 0 + -5 Combine like terms: 0 + -5 = -5 2n2 = -5 Divide each side by '2'. n2 = -2.5 Simplifying n2 = -2.5 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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