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Simplifying 6k12 = 6 Solving 6k12 = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '6'. k12 = 1 Simplifying k12 = 1 Reorder the terms: -1 + k12 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + k12 = 0 Factor a difference between two squares. (1 + k6)(-1 + k6) = 0 Factor a difference between two squares. (1 + k6)((1 + k3)(-1 + k3)) = 0Subproblem 1
Set the factor '(1 + k6)' equal to zero and attempt to solve: Simplifying 1 + k6 = 0 Solving 1 + k6 = 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 + k6 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k6 = 0 + -1 k6 = 0 + -1 Combine like terms: 0 + -1 = -1 k6 = -1 Simplifying k6 = -1 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 + k3)' equal to zero and attempt to solve: Simplifying 1 + k3 = 0 Solving 1 + k3 = 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 + k3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k3 = 0 + -1 k3 = 0 + -1 Combine like terms: 0 + -1 = -1 k3 = -1 Simplifying k3 = -1 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 '(-1 + k3)' equal to zero and attempt to solve: Simplifying -1 + k3 = 0 Solving -1 + k3 = 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 + k3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + k3 = 0 + 1 k3 = 0 + 1 Combine like terms: 0 + 1 = 1 k3 = 1 Simplifying k3 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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