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Simplifying 10k2 = 20k Solving 10k2 = 20k Solving for variable 'k'. Reorder the terms: -20k + 10k2 = 20k + -20k Combine like terms: 20k + -20k = 0 -20k + 10k2 = 0 Factor out the Greatest Common Factor (GCF), '10k'. 10k(-2 + k) = 0 Ignore the factor 10.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 '(-2 + k)' equal to zero and attempt to solve: Simplifying -2 + k = 0 Solving -2 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + k = 0 + 2 k = 0 + 2 Combine like terms: 0 + 2 = 2 k = 2 Simplifying k = 2Solution
k = {0, 2}
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