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Simplifying 6k4 + -1k2 + -12 = 0 Reorder the terms: -12 + -1k2 + 6k4 = 0 Solving -12 + -1k2 + 6k4 = 0 Solving for variable 'k'. Factor a trinomial. (-4 + -3k2)(3 + -2k2) = 0Subproblem 1
Set the factor '(-4 + -3k2)' equal to zero and attempt to solve: Simplifying -4 + -3k2 = 0 Solving -4 + -3k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3k2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3k2 = 0 + 4 -3k2 = 0 + 4 Combine like terms: 0 + 4 = 4 -3k2 = 4 Divide each side by '-3'. k2 = -1.333333333 Simplifying k2 = -1.333333333 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 '(3 + -2k2)' equal to zero and attempt to solve: Simplifying 3 + -2k2 = 0 Solving 3 + -2k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2k2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2k2 = 0 + -3 -2k2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2k2 = -3 Divide each side by '-2'. k2 = 1.5 Simplifying k2 = 1.5 Take the square root of each side: k = {-1.224744871, 1.224744871}Solution
k = {-1.224744871, 1.224744871}
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