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Simplifying 5k + 3k3 + 7k + 9k3 = 0 Reorder the terms: 5k + 7k + 3k3 + 9k3 = 0 Combine like terms: 5k + 7k = 12k 12k + 3k3 + 9k3 = 0 Combine like terms: 3k3 + 9k3 = 12k3 12k + 12k3 = 0 Solving 12k + 12k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '12k'. 12k(1 + k2) = 0 Ignore the factor 12.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 '(1 + k2)' equal to zero and attempt to solve: Simplifying 1 + k2 = 0 Solving 1 + k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + k2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k2 = 0 + -1 k2 = 0 + -1 Combine like terms: 0 + -1 = -1 k2 = -1 Simplifying k2 = -1 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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