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Simplifying 8k2 = 128k Solving 8k2 = 128k Solving for variable 'k'. Reorder the terms: -128k + 8k2 = 128k + -128k Combine like terms: 128k + -128k = 0 -128k + 8k2 = 0 Factor out the Greatest Common Factor (GCF), '8k'. 8k(-16 + k) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(-16 + k)' equal to zero and attempt to solve: Simplifying -16 + k = 0 Solving -16 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + k = 0 + 16 Combine like terms: -16 + 16 = 0 0 + k = 0 + 16 k = 0 + 16 Combine like terms: 0 + 16 = 16 k = 16 Simplifying k = 16Solution
k = {0, 16}
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