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Simplifying -8n(6 + 5n) = 0 (6 * -8n + 5n * -8n) = 0 (-48n + -40n2) = 0 Solving -48n + -40n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-8n'. -8n(6 + 5n) = 0 Ignore the factor -8.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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