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Simplifying (6k + 5)(5k + -1) = 0 Reorder the terms: (5 + 6k)(5k + -1) = 0 Reorder the terms: (5 + 6k)(-1 + 5k) = 0 Multiply (5 + 6k) * (-1 + 5k) (5(-1 + 5k) + 6k * (-1 + 5k)) = 0 ((-1 * 5 + 5k * 5) + 6k * (-1 + 5k)) = 0 ((-5 + 25k) + 6k * (-1 + 5k)) = 0 (-5 + 25k + (-1 * 6k + 5k * 6k)) = 0 (-5 + 25k + (-6k + 30k2)) = 0 Combine like terms: 25k + -6k = 19k (-5 + 19k + 30k2) = 0 Solving -5 + 19k + 30k2 = 0 Solving for variable 'k'. Factor a trinomial. (-5 + -6k)(1 + -5k) = 0Subproblem 1
Set the factor '(-5 + -6k)' equal to zero and attempt to solve: Simplifying -5 + -6k = 0 Solving -5 + -6k = 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 + -6k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6k = 0 + 5 -6k = 0 + 5 Combine like terms: 0 + 5 = 5 -6k = 5 Divide each side by '-6'. k = -0.8333333333 Simplifying k = -0.8333333333Subproblem 2
Set the factor '(1 + -5k)' equal to zero and attempt to solve: Simplifying 1 + -5k = 0 Solving 1 + -5k = 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 + -5k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5k = 0 + -1 -5k = 0 + -1 Combine like terms: 0 + -1 = -1 -5k = -1 Divide each side by '-5'. k = 0.2 Simplifying k = 0.2Solution
k = {-0.8333333333, 0.2}
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