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Simplifying 8k2 = 56k Solving 8k2 = 56k Solving for variable 'k'. Reorder the terms: -56k + 8k2 = 56k + -56k Combine like terms: 56k + -56k = 0 -56k + 8k2 = 0 Factor out the Greatest Common Factor (GCF), '8k'. 8k(-7 + 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 '(-7 + k)' equal to zero and attempt to solve: Simplifying -7 + k = 0 Solving -7 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + k = 0 + 7 k = 0 + 7 Combine like terms: 0 + 7 = 7 k = 7 Simplifying k = 7Solution
k = {0, 7}
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