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Simplifying -1n(6n + 3) = 0 Reorder the terms: -1n(3 + 6n) = 0 (3 * -1n + 6n * -1n) = 0 (-3n + -6n2) = 0 Solving -3n + -6n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-3n'. -3n(1 + 2n) = 0 Ignore the factor -3.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 '(1 + 2n)' equal to zero and attempt to solve: Simplifying 1 + 2n = 0 Solving 1 + 2n = 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 + 2n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 0 + -1 2n = 0 + -1 Combine like terms: 0 + -1 = -1 2n = -1 Divide each side by '2'. n = -0.5 Simplifying n = -0.5Solution
n = {0, -0.5}
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