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Simplifying k2 + 5k = -4 Reorder the terms: 5k + k2 = -4 Solving 5k + k2 = -4 Solving for variable 'k'. Reorder the terms: 4 + 5k + k2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 5k + k2 = 0 Factor a trinomial. (4 + k)(1 + k) = 0Subproblem 1
Set the factor '(4 + k)' equal to zero and attempt to solve: Simplifying 4 + k = 0 Solving 4 + k = 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 + k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + k = 0 + -4 k = 0 + -4 Combine like terms: 0 + -4 = -4 k = -4 Simplifying k = -4Subproblem 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 = {-4, -1}
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