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Simplifying k2 + 23k = 0 Reorder the terms: 23k + k2 = 0 Solving 23k + k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(23 + 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 '(23 + k)' equal to zero and attempt to solve: Simplifying 23 + k = 0 Solving 23 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + k = 0 + -23 Combine like terms: 23 + -23 = 0 0 + k = 0 + -23 k = 0 + -23 Combine like terms: 0 + -23 = -23 k = -23 Simplifying k = -23Solution
k = {0, -23}
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