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Simplifying 8k2 = 64k Solving 8k2 = 64k Solving for variable 'k'. Reorder the terms: -64k + 8k2 = 64k + -64k Combine like terms: 64k + -64k = 0 -64k + 8k2 = 0 Factor out the Greatest Common Factor (GCF), '8k'. 8k(-8 + 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 '(-8 + k)' equal to zero and attempt to solve: Simplifying -8 + k = 0 Solving -8 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + k = 0 + 8 k = 0 + 8 Combine like terms: 0 + 8 = 8 k = 8 Simplifying k = 8Solution
k = {0, 8}
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