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Simplifying 35k2 + 33k + 4 = 0 Reorder the terms: 4 + 33k + 35k2 = 0 Solving 4 + 33k + 35k2 = 0 Solving for variable 'k'. Factor a trinomial. (4 + 5k)(1 + 7k) = 0Subproblem 1
Set the factor '(4 + 5k)' equal to zero and attempt to solve: Simplifying 4 + 5k = 0 Solving 4 + 5k = 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 + 5k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5k = 0 + -4 5k = 0 + -4 Combine like terms: 0 + -4 = -4 5k = -4 Divide each side by '5'. k = -0.8 Simplifying k = -0.8Subproblem 2
Set the factor '(1 + 7k)' equal to zero and attempt to solve: Simplifying 1 + 7k = 0 Solving 1 + 7k = 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 + 7k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7k = 0 + -1 7k = 0 + -1 Combine like terms: 0 + -1 = -1 7k = -1 Divide each side by '7'. k = -0.1428571429 Simplifying k = -0.1428571429Solution
k = {-0.8, -0.1428571429}
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