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Simplifying -4n(3n + 4) = 0 Reorder the terms: -4n(4 + 3n) = 0 (4 * -4n + 3n * -4n) = 0 (-16n + -12n2) = 0 Solving -16n + -12n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-4n'. -4n(4 + 3n) = 0 Ignore the factor -4.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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