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Simplifying n(3n + -4) + 2n = 0 Reorder the terms: n(-4 + 3n) + 2n = 0 (-4 * n + 3n * n) + 2n = 0 (-4n + 3n2) + 2n = 0 Reorder the terms: -4n + 2n + 3n2 = 0 Combine like terms: -4n + 2n = -2n -2n + 3n2 = 0 Solving -2n + 3n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-2 + 3n) = 0Subproblem 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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