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Simplifying 12k2 + 8k + -55 = 0 Reorder the terms: -55 + 8k + 12k2 = 0 Solving -55 + 8k + 12k2 = 0 Solving for variable 'k'. Factor a trinomial. (-5 + -2k)(11 + -6k) = 0Subproblem 1
Set the factor '(-5 + -2k)' equal to zero and attempt to solve: Simplifying -5 + -2k = 0 Solving -5 + -2k = 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 + -2k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2k = 0 + 5 -2k = 0 + 5 Combine like terms: 0 + 5 = 5 -2k = 5 Divide each side by '-2'. k = -2.5 Simplifying k = -2.5Subproblem 2
Set the factor '(11 + -6k)' equal to zero and attempt to solve: Simplifying 11 + -6k = 0 Solving 11 + -6k = 0 Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -6k = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6k = 0 + -11 -6k = 0 + -11 Combine like terms: 0 + -11 = -11 -6k = -11 Divide each side by '-6'. k = 1.833333333 Simplifying k = 1.833333333Solution
k = {-2.5, 1.833333333}
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