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Simplifying 2k2 + 19k = 0 Reorder the terms: 19k + 2k2 = 0 Solving 19k + 2k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(19 + 2k) = 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 '(19 + 2k)' equal to zero and attempt to solve: Simplifying 19 + 2k = 0 Solving 19 + 2k = 0 Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2k = 0 + -19 2k = 0 + -19 Combine like terms: 0 + -19 = -19 2k = -19 Divide each side by '2'. k = -9.5 Simplifying k = -9.5Solution
k = {0, -9.5}
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