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Simplifying 5K2 + -23K + 24 = 0 Reorder the terms: 24 + -23K + 5K2 = 0 Solving 24 + -23K + 5K2 = 0 Solving for variable 'K'. Factor a trinomial. (8 + -5K)(3 + -1K) = 0Subproblem 1
Set the factor '(8 + -5K)' equal to zero and attempt to solve: Simplifying 8 + -5K = 0 Solving 8 + -5K = 0 Move all terms containing K to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5K = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5K = 0 + -8 -5K = 0 + -8 Combine like terms: 0 + -8 = -8 -5K = -8 Divide each side by '-5'. K = 1.6 Simplifying K = 1.6Subproblem 2
Set the factor '(3 + -1K)' equal to zero and attempt to solve: Simplifying 3 + -1K = 0 Solving 3 + -1K = 0 Move all terms containing K to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1K = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1K = 0 + -3 -1K = 0 + -3 Combine like terms: 0 + -3 = -3 -1K = -3 Divide each side by '-1'. K = 3 Simplifying K = 3Solution
K = {1.6, 3}
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