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Simplifying k2 + 13 = -14k Reorder the terms: 13 + k2 = -14k Solving 13 + k2 = -14k Solving for variable 'k'. Reorder the terms: 13 + 14k + k2 = -14k + 14k Combine like terms: -14k + 14k = 0 13 + 14k + k2 = 0 Factor a trinomial. (13 + k)(1 + k) = 0Subproblem 1
Set the factor '(13 + k)' equal to zero and attempt to solve: Simplifying 13 + k = 0 Solving 13 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + k = 0 + -13 k = 0 + -13 Combine like terms: 0 + -13 = -13 k = -13 Simplifying k = -13Subproblem 2
Set the factor '(1 + k)' equal to zero and attempt to solve: Simplifying 1 + k = 0 Solving 1 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k = 0 + -1 k = 0 + -1 Combine like terms: 0 + -1 = -1 k = -1 Simplifying k = -1Solution
k = {-13, -1}
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