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Simplifying -4n(n + -2) + 2n(n + -1) = 0 Reorder the terms: -4n(-2 + n) + 2n(n + -1) = 0 (-2 * -4n + n * -4n) + 2n(n + -1) = 0 (8n + -4n2) + 2n(n + -1) = 0 Reorder the terms: 8n + -4n2 + 2n(-1 + n) = 0 8n + -4n2 + (-1 * 2n + n * 2n) = 0 8n + -4n2 + (-2n + 2n2) = 0 Reorder the terms: 8n + -2n + -4n2 + 2n2 = 0 Combine like terms: 8n + -2n = 6n 6n + -4n2 + 2n2 = 0 Combine like terms: -4n2 + 2n2 = -2n2 6n + -2n2 = 0 Solving 6n + -2n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(3 + -1n) = 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 '(3 + -1n)' equal to zero and attempt to solve: Simplifying 3 + -1n = 0 Solving 3 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 0 + -3 -1n = 0 + -3 Combine like terms: 0 + -3 = -3 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3Solution
n = {0, 3}
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