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Simplifying (4n + 2n2) + (8n2 + 8n) = 0 Remove parenthesis around (4n + 2n2) 4n + 2n2 + (8n2 + 8n) = 0 Reorder the terms: 4n + 2n2 + (8n + 8n2) = 0 Remove parenthesis around (8n + 8n2) 4n + 2n2 + 8n + 8n2 = 0 Reorder the terms: 4n + 8n + 2n2 + 8n2 = 0 Combine like terms: 4n + 8n = 12n 12n + 2n2 + 8n2 = 0 Combine like terms: 2n2 + 8n2 = 10n2 12n + 10n2 = 0 Solving 12n + 10n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(6 + 5n) = 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 '(6 + 5n)' equal to zero and attempt to solve: Simplifying 6 + 5n = 0 Solving 6 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5n = 0 + -6 5n = 0 + -6 Combine like terms: 0 + -6 = -6 5n = -6 Divide each side by '5'. n = -1.2 Simplifying n = -1.2Solution
n = {0, -1.2}
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