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Simplifying 66K2 + -258K + -24 = 0 Reorder the terms: -24 + -258K + 66K2 = 0 Solving -24 + -258K + 66K2 = 0 Solving for variable 'K'. Factor out the Greatest Common Factor (GCF), '6'. 6(-4 + -43K + 11K2) = 0 Factor a trinomial. 6((-1 + -11K)(4 + -1K)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + -11K)' equal to zero and attempt to solve: Simplifying -1 + -11K = 0 Solving -1 + -11K = 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 + -11K = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -11K = 0 + 1 -11K = 0 + 1 Combine like terms: 0 + 1 = 1 -11K = 1 Divide each side by '-11'. K = -0.09090909091 Simplifying K = -0.09090909091Subproblem 2
Set the factor '(4 + -1K)' equal to zero and attempt to solve: Simplifying 4 + -1K = 0 Solving 4 + -1K = 0 Move all terms containing K to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1K = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1K = 0 + -4 -1K = 0 + -4 Combine like terms: 0 + -4 = -4 -1K = -4 Divide each side by '-1'. K = 4 Simplifying K = 4Solution
K = {-0.09090909091, 4}
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