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Simplifying k2 + 41k = 0 Reorder the terms: 41k + k2 = 0 Solving 41k + k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(41 + 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 '(41 + k)' equal to zero and attempt to solve: Simplifying 41 + k = 0 Solving 41 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + k = 0 + -41 Combine like terms: 41 + -41 = 0 0 + k = 0 + -41 k = 0 + -41 Combine like terms: 0 + -41 = -41 k = -41 Simplifying k = -41Solution
k = {0, -41}
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