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Simplifying 5k2 + -24k + -189 = 0 Reorder the terms: -189 + -24k + 5k2 = 0 Solving -189 + -24k + 5k2 = 0 Solving for variable 'k'. Factor a trinomial. (-21 + -5k)(9 + -1k) = 0Subproblem 1
Set the factor '(-21 + -5k)' equal to zero and attempt to solve: Simplifying -21 + -5k = 0 Solving -21 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -5k = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -5k = 0 + 21 -5k = 0 + 21 Combine like terms: 0 + 21 = 21 -5k = 21 Divide each side by '-5'. k = -4.2 Simplifying k = -4.2Subproblem 2
Set the factor '(9 + -1k)' equal to zero and attempt to solve: Simplifying 9 + -1k = 0 Solving 9 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 0 + -9 -1k = 0 + -9 Combine like terms: 0 + -9 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9Solution
k = {-4.2, 9}
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