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Simplifying 605k7 + -845k = 0 Reorder the terms: -845k + 605k7 = 0 Solving -845k + 605k7 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5k'. 5k(-169 + 121k6) = 0 Factor a difference between two squares. 5k((13 + 11k3)(-13 + 11k3)) = 0 Ignore the factor 5.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 '(13 + 11k3)' equal to zero and attempt to solve: Simplifying 13 + 11k3 = 0 Solving 13 + 11k3 = 0 Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 11k3 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 11k3 = 0 + -13 11k3 = 0 + -13 Combine like terms: 0 + -13 = -13 11k3 = -13 Divide each side by '11'. k3 = -1.181818182 Simplifying k3 = -1.181818182 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-13 + 11k3)' equal to zero and attempt to solve: Simplifying -13 + 11k3 = 0 Solving -13 + 11k3 = 0 Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 11k3 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 11k3 = 0 + 13 11k3 = 0 + 13 Combine like terms: 0 + 13 = 13 11k3 = 13 Divide each side by '11'. k3 = 1.181818182 Simplifying k3 = 1.181818182 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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