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Simplifying 6k2 + 60k = 0 Reorder the terms: 60k + 6k2 = 0 Solving 60k + 6k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '6k'. 6k(10 + k) = 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 '(10 + k)' equal to zero and attempt to solve: Simplifying 10 + k = 0 Solving 10 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + k = 0 + -10 k = 0 + -10 Combine like terms: 0 + -10 = -10 k = -10 Simplifying k = -10Solution
k = {0, -10}
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