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Simplifying k + 3k3 + 7k + 9k3 = 0 Reorder the terms: k + 7k + 3k3 + 9k3 = 0 Combine like terms: k + 7k = 8k 8k + 3k3 + 9k3 = 0 Combine like terms: 3k3 + 9k3 = 12k3 8k + 12k3 = 0 Solving 8k + 12k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4k'. 4k(2 + 3k2) = 0 Ignore the factor 4.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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