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Simplifying -1n2(-6n2 + 2n) = 0 Reorder the terms: -1n2(2n + -6n2) = 0 (2n * -1n2 + -6n2 * -1n2) = 0 (-2n3 + 6n4) = 0 Solving -2n3 + 6n4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n3'. 2n3(-1 + 3n) = 0 Ignore the factor 2.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 '(-1 + 3n)' equal to zero and attempt to solve: Simplifying -1 + 3n = 0 Solving -1 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3n = 0 + 1 3n = 0 + 1 Combine like terms: 0 + 1 = 1 3n = 1 Divide each side by '3'. n = 0.3333333333 Simplifying n = 0.3333333333Solution
n = {0.3333333333}
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