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Simplifying 35k2 + -37k + -6 = 0 Reorder the terms: -6 + -37k + 35k2 = 0 Solving -6 + -37k + 35k2 = 0 Solving for variable 'k'. Factor a trinomial. (-1 + -7k)(6 + -5k) = 0Subproblem 1
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 = -0.1428571429Subproblem 2
Set the factor '(6 + -5k)' equal to zero and attempt to solve: Simplifying 6 + -5k = 0 Solving 6 + -5k = 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 + -5k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5k = 0 + -6 -5k = 0 + -6 Combine like terms: 0 + -6 = -6 -5k = -6 Divide each side by '-5'. k = 1.2 Simplifying k = 1.2Solution
k = {-0.1428571429, 1.2}
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