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Simplifying 6k4 + -1k2 + -35 = 0 Reorder the terms: -35 + -1k2 + 6k4 = 0 Solving -35 + -1k2 + 6k4 = 0 Solving for variable 'k'. Factor a trinomial. (-7 + -3k2)(5 + -2k2) = 0Subproblem 1
Set the factor '(-7 + -3k2)' equal to zero and attempt to solve: Simplifying -7 + -3k2 = 0 Solving -7 + -3k2 = 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 + -3k2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3k2 = 0 + 7 -3k2 = 0 + 7 Combine like terms: 0 + 7 = 7 -3k2 = 7 Divide each side by '-3'. k2 = -2.333333333 Simplifying k2 = -2.333333333 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 '(5 + -2k2)' equal to zero and attempt to solve: Simplifying 5 + -2k2 = 0 Solving 5 + -2k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2k2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2k2 = 0 + -5 -2k2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2k2 = -5 Divide each side by '-2'. k2 = 2.5 Simplifying k2 = 2.5 Take the square root of each side: k = {-1.58113883, 1.58113883}Solution
k = {-1.58113883, 1.58113883}
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