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Simplifying 6k2 + 11k + -7 = 0 Reorder the terms: -7 + 11k + 6k2 = 0 Solving -7 + 11k + 6k2 = 0 Solving for variable 'k'. Factor a trinomial. (-7 + -3k)(1 + -2k) = 0Subproblem 1
Set the factor '(-7 + -3k)' equal to zero and attempt to solve: Simplifying -7 + -3k = 0 Solving -7 + -3k = 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 + -3k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3k = 0 + 7 -3k = 0 + 7 Combine like terms: 0 + 7 = 7 -3k = 7 Divide each side by '-3'. k = -2.333333333 Simplifying k = -2.333333333Subproblem 2
Set the factor '(1 + -2k)' equal to zero and attempt to solve: Simplifying 1 + -2k = 0 Solving 1 + -2k = 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 + -2k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2k = 0 + -1 -2k = 0 + -1 Combine like terms: 0 + -1 = -1 -2k = -1 Divide each side by '-2'. k = 0.5 Simplifying k = 0.5Solution
k = {-2.333333333, 0.5}
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