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Simplifying 968k6 + -8k4 = 0 Reorder the terms: -8k4 + 968k6 = 0 Solving -8k4 + 968k6 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '8k4'. 8k4(-1 + 121k2) = 0 Factor a difference between two squares. 8k4((1 + 11k)(-1 + 11k)) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'k4' equal to zero and attempt to solve: Simplifying k4 = 0 Solving k4 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 11k)' equal to zero and attempt to solve: Simplifying 1 + 11k = 0 Solving 1 + 11k = 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 + 11k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11k = 0 + -1 11k = 0 + -1 Combine like terms: 0 + -1 = -1 11k = -1 Divide each side by '11'. k = -0.09090909091 Simplifying k = -0.09090909091Subproblem 3
Set the factor '(-1 + 11k)' equal to zero and attempt to solve: Simplifying -1 + 11k = 0 Solving -1 + 11k = 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 + 11k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 11k = 0 + 1 11k = 0 + 1 Combine like terms: 0 + 1 = 1 11k = 1 Divide each side by '11'. k = 0.09090909091 Simplifying k = 0.09090909091Solution
k = {-0.09090909091, 0.09090909091}
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