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Simplifying 2n(3n + -4) = 0 Reorder the terms: 2n(-4 + 3n) = 0 (-4 * 2n + 3n * 2n) = 0 (-8n + 6n2) = 0 Solving -8n + 6n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(-4 + 3n) = 0 Ignore the factor 2.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 + 3n)' equal to zero and attempt to solve: Simplifying -4 + 3n = 0 Solving -4 + 3n = 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 + 3n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3n = 0 + 4 3n = 0 + 4 Combine like terms: 0 + 4 = 4 3n = 4 Divide each side by '3'. n = 1.333333333 Simplifying n = 1.333333333Solution
n = {0, 1.333333333}
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