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Simplifying 6k2 + -29k + -5 = 0 Reorder the terms: -5 + -29k + 6k2 = 0 Solving -5 + -29k + 6k2 = 0 Solving for variable 'k'. Factor a trinomial. (-1 + -6k)(5 + -1k) = 0Subproblem 1
Set the factor '(-1 + -6k)' equal to zero and attempt to solve: Simplifying -1 + -6k = 0 Solving -1 + -6k = 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 + -6k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6k = 0 + 1 -6k = 0 + 1 Combine like terms: 0 + 1 = 1 -6k = 1 Divide each side by '-6'. k = -0.1666666667 Simplifying k = -0.1666666667Subproblem 2
Set the factor '(5 + -1k)' equal to zero and attempt to solve: Simplifying 5 + -1k = 0 Solving 5 + -1k = 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 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5Solution
k = {-0.1666666667, 5}
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