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Simplifying k2 + -16k + 28 = 0 Reorder the terms: 28 + -16k + k2 = 0 Solving 28 + -16k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (2 + -1k)(14 + -1k) = 0Subproblem 1
Set the factor '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2Subproblem 2
Set the factor '(14 + -1k)' equal to zero and attempt to solve: Simplifying 14 + -1k = 0 Solving 14 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1k = 0 + -14 -1k = 0 + -14 Combine like terms: 0 + -14 = -14 -1k = -14 Divide each side by '-1'. k = 14 Simplifying k = 14Solution
k = {2, 14}
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