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Simplifying 7k2 + -69k + 54 = 0 Reorder the terms: 54 + -69k + 7k2 = 0 Solving 54 + -69k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (6 + -7k)(9 + -1k) = 0Subproblem 1
Set the factor '(6 + -7k)' equal to zero and attempt to solve: Simplifying 6 + -7k = 0 Solving 6 + -7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7k = 0 + -6 -7k = 0 + -6 Combine like terms: 0 + -6 = -6 -7k = -6 Divide each side by '-7'. k = 0.8571428571 Simplifying k = 0.8571428571Subproblem 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 = {0.8571428571, 9}
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