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Simplifying 6n(4n + -8) = 0 Reorder the terms: 6n(-8 + 4n) = 0 (-8 * 6n + 4n * 6n) = 0 (-48n + 24n2) = 0 Solving -48n + 24n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '24n'. 24n(-2 + n) = 0 Ignore the factor 24.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 '(-2 + n)' equal to zero and attempt to solve: Simplifying -2 + n = 0 Solving -2 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + n = 0 + 2 n = 0 + 2 Combine like terms: 0 + 2 = 2 n = 2 Simplifying n = 2Solution
n = {0, 2}
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