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Simplifying k2 + 38k = 0 Reorder the terms: 38k + k2 = 0 Solving 38k + k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(38 + 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 '(38 + k)' equal to zero and attempt to solve: Simplifying 38 + k = 0 Solving 38 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + k = 0 + -38 Combine like terms: 38 + -38 = 0 0 + k = 0 + -38 k = 0 + -38 Combine like terms: 0 + -38 = -38 k = -38 Simplifying k = -38Solution
k = {0, -38}
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