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Simplifying 42k2 + -11k + -20 = 0 Reorder the terms: -20 + -11k + 42k2 = 0 Solving -20 + -11k + 42k2 = 0 Solving for variable 'k'. Factor a trinomial. (-4 + -7k)(5 + -6k) = 0Subproblem 1
Set the factor '(-4 + -7k)' equal to zero and attempt to solve: Simplifying -4 + -7k = 0 Solving -4 + -7k = 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 + -7k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7k = 0 + 4 -7k = 0 + 4 Combine like terms: 0 + 4 = 4 -7k = 4 Divide each side by '-7'. k = -0.5714285714 Simplifying k = -0.5714285714Subproblem 2
Set the factor '(5 + -6k)' equal to zero and attempt to solve: Simplifying 5 + -6k = 0 Solving 5 + -6k = 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 + -6k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6k = 0 + -5 -6k = 0 + -5 Combine like terms: 0 + -5 = -5 -6k = -5 Divide each side by '-6'. k = 0.8333333333 Simplifying k = 0.8333333333Solution
k = {-0.5714285714, 0.8333333333}
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