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Simplifying 9k3 + 30k * 2 + -24k = 0 Reorder the terms for easier multiplication: 9k3 + 30 * 2k + -24k = 0 Multiply 30 * 2 9k3 + 60k + -24k = 0 Reorder the terms: 60k + -24k + 9k3 = 0 Combine like terms: 60k + -24k = 36k 36k + 9k3 = 0 Solving 36k + 9k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '9k'. 9k(4 + k2) = 0 Ignore the factor 9.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 '(4 + k2)' equal to zero and attempt to solve: Simplifying 4 + k2 = 0 Solving 4 + k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + k2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + k2 = 0 + -4 k2 = 0 + -4 Combine like terms: 0 + -4 = -4 k2 = -4 Simplifying k2 = -4 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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