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Simplifying k2 + -16k + 56 = -8 Reorder the terms: 56 + -16k + k2 = -8 Solving 56 + -16k + k2 = -8 Solving for variable 'k'. Reorder the terms: 56 + 8 + -16k + k2 = -8 + 8 Combine like terms: 56 + 8 = 64 64 + -16k + k2 = -8 + 8 Combine like terms: -8 + 8 = 0 64 + -16k + k2 = 0 Factor a trinomial. (8 + -1k)(8 + -1k) = 0Subproblem 1
Set the factor '(8 + -1k)' equal to zero and attempt to solve: Simplifying 8 + -1k = 0 Solving 8 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 0 + -8 -1k = 0 + -8 Combine like terms: 0 + -8 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8Subproblem 2
Set the factor '(8 + -1k)' equal to zero and attempt to solve: Simplifying 8 + -1k = 0 Solving 8 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 0 + -8 -1k = 0 + -8 Combine like terms: 0 + -8 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8Solution
k = {8, 8}
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