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Simplifying 8k2 + 37k + 20 = 0 Reorder the terms: 20 + 37k + 8k2 = 0 Solving 20 + 37k + 8k2 = 0 Solving for variable 'k'. Factor a trinomial. (4 + k)(5 + 8k) = 0Subproblem 1
Set the factor '(4 + k)' equal to zero and attempt to solve: Simplifying 4 + k = 0 Solving 4 + k = 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 + k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + k = 0 + -4 k = 0 + -4 Combine like terms: 0 + -4 = -4 k = -4 Simplifying k = -4Subproblem 2
Set the factor '(5 + 8k)' equal to zero and attempt to solve: Simplifying 5 + 8k = 0 Solving 5 + 8k = 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 + 8k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8k = 0 + -5 8k = 0 + -5 Combine like terms: 0 + -5 = -5 8k = -5 Divide each side by '8'. k = -0.625 Simplifying k = -0.625Solution
k = {-4, -0.625}
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