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Simplifying k4 + 13k2 + 42 = 0 Reorder the terms: 42 + 13k2 + k4 = 0 Solving 42 + 13k2 + k4 = 0 Solving for variable 'k'. Factor a trinomial. (7 + k2)(6 + k2) = 0Subproblem 1
Set the factor '(7 + k2)' equal to zero and attempt to solve: Simplifying 7 + k2 = 0 Solving 7 + k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + k2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k2 = 0 + -7 k2 = 0 + -7 Combine like terms: 0 + -7 = -7 k2 = -7 Simplifying k2 = -7 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 '(6 + k2)' equal to zero and attempt to solve: Simplifying 6 + k2 = 0 Solving 6 + k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + k2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + k2 = 0 + -6 k2 = 0 + -6 Combine like terms: 0 + -6 = -6 k2 = -6 Simplifying k2 = -6 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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