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Simplifying -8n2 + -64n + -128 = 0 Reorder the terms: -128 + -64n + -8n2 = 0 Solving -128 + -64n + -8n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-8'. -8(16 + 8n + n2) = 0 Factor a trinomial. -8((4 + n)(4 + n)) = 0 Ignore the factor -8.Subproblem 1
Set the factor '(4 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Simplifying n = -4Subproblem 2
Set the factor '(4 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Simplifying n = -4Solution
n = {-4, -4}
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