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Simplifying 5k2 + -9k + -38 = 0 Reorder the terms: -38 + -9k + 5k2 = 0 Solving -38 + -9k + 5k2 = 0 Solving for variable 'k'. Factor a trinomial. (-2 + -1k)(19 + -5k) = 0Subproblem 1
Set the factor '(-2 + -1k)' equal to zero and attempt to solve: Simplifying -2 + -1k = 0 Solving -2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1k = 0 + 2 -1k = 0 + 2 Combine like terms: 0 + 2 = 2 -1k = 2 Divide each side by '-1'. k = -2 Simplifying k = -2Subproblem 2
Set the factor '(19 + -5k)' equal to zero and attempt to solve: Simplifying 19 + -5k = 0 Solving 19 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -5k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -5k = 0 + -19 -5k = 0 + -19 Combine like terms: 0 + -19 = -19 -5k = -19 Divide each side by '-5'. k = 3.8 Simplifying k = 3.8Solution
k = {-2, 3.8}
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