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Simplifying -8n(1 + 9n) = 0 (1 * -8n + 9n * -8n) = 0 (-8n + -72n2) = 0 Solving -8n + -72n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-8n'. -8n(1 + 9n) = 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 '(1 + 9n)' equal to zero and attempt to solve: Simplifying 1 + 9n = 0 Solving 1 + 9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9n = 0 + -1 9n = 0 + -1 Combine like terms: 0 + -1 = -1 9n = -1 Divide each side by '9'. n = -0.1111111111 Simplifying n = -0.1111111111Solution
n = {0, -0.1111111111}
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