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Simplifying 5k2 + 28 = 27k Reorder the terms: 28 + 5k2 = 27k Solving 28 + 5k2 = 27k Solving for variable 'k'. Reorder the terms: 28 + -27k + 5k2 = 27k + -27k Combine like terms: 27k + -27k = 0 28 + -27k + 5k2 = 0 Factor a trinomial. (7 + -5k)(4 + -1k) = 0Subproblem 1
Set the factor '(7 + -5k)' equal to zero and attempt to solve: Simplifying 7 + -5k = 0 Solving 7 + -5k = 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 + -5k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5k = 0 + -7 -5k = 0 + -7 Combine like terms: 0 + -7 = -7 -5k = -7 Divide each side by '-5'. k = 1.4 Simplifying k = 1.4Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 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 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4Solution
k = {1.4, 4}
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