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Simplifying -3(6n + -4) * 3n = 0 Reorder the terms: -3(-4 + 6n) * 3n = 0 Reorder the terms for easier multiplication: -3 * 3n(-4 + 6n) = 0 Multiply -3 * 3 -9n(-4 + 6n) = 0 (-4 * -9n + 6n * -9n) = 0 (36n + -54n2) = 0 Solving 36n + -54n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '18n'. 18n(2 + -3n) = 0 Ignore the factor 18.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 + -3n)' equal to zero and attempt to solve: Simplifying 2 + -3n = 0 Solving 2 + -3n = 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 + -3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = 0 + -2 -3n = 0 + -2 Combine like terms: 0 + -2 = -2 -3n = -2 Divide each side by '-3'. n = 0.6666666667 Simplifying n = 0.6666666667Solution
n = {0, 0.6666666667}
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