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Simplifying -4n(n + 6) + -8n(2 + -1n) = 0 Reorder the terms: -4n(6 + n) + -8n(2 + -1n) = 0 (6 * -4n + n * -4n) + -8n(2 + -1n) = 0 (-24n + -4n2) + -8n(2 + -1n) = 0 -24n + -4n2 + (2 * -8n + -1n * -8n) = 0 -24n + -4n2 + (-16n + 8n2) = 0 Reorder the terms: -24n + -16n + -4n2 + 8n2 = 0 Combine like terms: -24n + -16n = -40n -40n + -4n2 + 8n2 = 0 Combine like terms: -4n2 + 8n2 = 4n2 -40n + 4n2 = 0 Solving -40n + 4n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '4n'. 4n(-10 + n) = 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 '(-10 + n)' equal to zero and attempt to solve: Simplifying -10 + n = 0 Solving -10 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + n = 0 + 10 n = 0 + 10 Combine like terms: 0 + 10 = 10 n = 10 Simplifying n = 10Solution
n = {0, 10}
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