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Simplifying -5n2(2n3 + -6n) = 0 Reorder the terms: -5n2(-6n + 2n3) = 0 (-6n * -5n2 + 2n3 * -5n2) = 0 (30n3 + -10n5) = 0 Solving 30n3 + -10n5 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '10n3'. 10n3(3 + -1n2) = 0 Ignore the factor 10.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 '(3 + -1n2)' equal to zero and attempt to solve: Simplifying 3 + -1n2 = 0 Solving 3 + -1n2 = 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 + -1n2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1n2 = 0 + -3 -1n2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1n2 = -3 Divide each side by '-1'. n2 = 3 Simplifying n2 = 3 Take the square root of each side: n = {-1.732050808, 1.732050808}Solution
n = {-1.732050808, 1.732050808}
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