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Simplifying k(k + 2) = 5k Reorder the terms: k(2 + k) = 5k (2 * k + k * k) = 5k (2k + k2) = 5k Solving 2k + k2 = 5k Solving for variable 'k'. Reorder the terms: 2k + -5k + k2 = 5k + -5k Combine like terms: 2k + -5k = -3k -3k + k2 = 5k + -5k Combine like terms: 5k + -5k = 0 -3k + k2 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(-3 + k) = 0Subproblem 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 '(-3 + k)' equal to zero and attempt to solve: Simplifying -3 + k = 0 Solving -3 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + k = 0 + 3 k = 0 + 3 Combine like terms: 0 + 3 = 3 k = 3 Simplifying k = 3Solution
k = {0, 3}
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