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