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Simplifying 8k3 + 24k = 0 Reorder the terms: 24k + 8k3 = 0 Solving 24k + 8k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '8k'. 8k(3 + k2) = 0 Ignore the factor 8.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 '(3 + k2)' equal to zero and attempt to solve: Simplifying 3 + k2 = 0 Solving 3 + k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + k2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k2 = 0 + -3 k2 = 0 + -3 Combine like terms: 0 + -3 = -3 k2 = -3 Simplifying k2 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
k = {0}
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