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Simplifying 7k2 + 41k + 30 = 0 Reorder the terms: 30 + 41k + 7k2 = 0 Solving 30 + 41k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (5 + k)(6 + 7k) = 0Subproblem 1
Set the factor '(5 + k)' equal to zero and attempt to solve: Simplifying 5 + k = 0 Solving 5 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + k = 0 + -5 k = 0 + -5 Combine like terms: 0 + -5 = -5 k = -5 Simplifying k = -5Subproblem 2
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 = -0.8571428571Solution
k = {-5, -0.8571428571}
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