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Simplifying 9k3 + 30k = 24k Reorder the terms: 30k + 9k3 = 24k Solving 30k + 9k3 = 24k Solving for variable 'k'. Reorder the terms: 30k + -24k + 9k3 = 24k + -24k Combine like terms: 30k + -24k = 6k 6k + 9k3 = 24k + -24k Combine like terms: 24k + -24k = 0 6k + 9k3 = 0 Factor out the Greatest Common Factor (GCF), '3k'. 3k(2 + 3k2) = 0 Ignore the factor 3.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 '(2 + 3k2)' equal to zero and attempt to solve: Simplifying 2 + 3k2 = 0 Solving 2 + 3k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3k2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3k2 = 0 + -2 3k2 = 0 + -2 Combine like terms: 0 + -2 = -2 3k2 = -2 Divide each side by '3'. k2 = -0.6666666667 Simplifying k2 = -0.6666666667 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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