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Simplifying -8n(8n + -8) = 0 Reorder the terms: -8n(-8 + 8n) = 0 (-8 * -8n + 8n * -8n) = 0 (64n + -64n2) = 0 Solving 64n + -64n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '64n'. 64n(1 + -1n) = 0 Ignore the factor 64.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 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 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 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {0, 1}
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