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Simplifying 8n2(-2n + -2) = 0 Reorder the terms: 8n2(-2 + -2n) = 0 (-2 * 8n2 + -2n * 8n2) = 0 (-16n2 + -16n3) = 0 Solving -16n2 + -16n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-16n2'. -16n2(1 + n) = 0 Ignore the factor -16.Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve: Simplifying n2 = 0 Solving n2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n2 = 0 Take the square root of each side: n = {0}Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 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 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1Solution
n = {0, -1}
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