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Simplifying 8n2 + -8n + -8 = -8 Reorder the terms: -8 + -8n + 8n2 = -8 Add '8' to each side of the equation. -8 + -8n + 8 + 8n2 = -8 + 8 Reorder the terms: -8 + 8 + -8n + 8n2 = -8 + 8 Combine like terms: -8 + 8 = 0 0 + -8n + 8n2 = -8 + 8 -8n + 8n2 = -8 + 8 Combine like terms: -8 + 8 = 0 -8n + 8n2 = 0 Solving -8n + 8n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '8n'. 8n(-1 + n) = 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 + 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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