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Simplifying 12k2 + 30k = 0 Reorder the terms: 30k + 12k2 = 0 Solving 30k + 12k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '6k'. 6k(5 + 2k) = 0 Ignore the factor 6.Subproblem 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 '(5 + 2k)' equal to zero and attempt to solve: Simplifying 5 + 2k = 0 Solving 5 + 2k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = 0 + -5 2k = 0 + -5 Combine like terms: 0 + -5 = -5 2k = -5 Divide each side by '2'. k = -2.5 Simplifying k = -2.5Solution
k = {0, -2.5}
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