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Simplifying 5k2 + 39k + 28 = 0 Reorder the terms: 28 + 39k + 5k2 = 0 Solving 28 + 39k + 5k2 = 0 Solving for variable 'k'. Factor a trinomial. (7 + k)(4 + 5k) = 0Subproblem 1
Set the factor '(7 + k)' equal to zero and attempt to solve: Simplifying 7 + k = 0 Solving 7 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k = 0 + -7 k = 0 + -7 Combine like terms: 0 + -7 = -7 k = -7 Simplifying k = -7Subproblem 2
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 = -0.8Solution
k = {-7, -0.8}
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