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Simplifying -3n(8 + 2n) = 0 (8 * -3n + 2n * -3n) = 0 (-24n + -6n2) = 0 Solving -24n + -6n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-6n'. -6n(4 + n) = 0 Ignore the factor -6.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 '(4 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Simplifying n = -4Solution
n = {0, -4}
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