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Simplifying 5k2 = 60k + -20k Combine like terms: 60k + -20k = 40k 5k2 = 40k Solving 5k2 = 40k Solving for variable 'k'. Reorder the terms: -40k + 5k2 = 40k + -40k Combine like terms: 40k + -40k = 0 -40k + 5k2 = 0 Factor out the Greatest Common Factor (GCF), '5k'. 5k(-8 + k) = 0 Ignore the factor 5.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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