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Simplifying k2 + 40k = 0 Reorder the terms: 40k + k2 = 0 Solving 40k + k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(40 + 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 '(40 + k)' equal to zero and attempt to solve: Simplifying 40 + k = 0 Solving 40 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + k = 0 + -40 Combine like terms: 40 + -40 = 0 0 + k = 0 + -40 k = 0 + -40 Combine like terms: 0 + -40 = -40 k = -40 Simplifying k = -40Solution
k = {0, -40}
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