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Simplifying k2 = -16 + -10k Solving k2 = -16 + -10k Solving for variable 'k'. Reorder the terms: 16 + 10k + k2 = -16 + -10k + 16 + 10k Reorder the terms: 16 + 10k + k2 = -16 + 16 + -10k + 10k Combine like terms: -16 + 16 = 0 16 + 10k + k2 = 0 + -10k + 10k 16 + 10k + k2 = -10k + 10k Combine like terms: -10k + 10k = 0 16 + 10k + k2 = 0 Factor a trinomial. (8 + k)(2 + k) = 0Subproblem 1
Set the factor '(8 + k)' equal to zero and attempt to solve: Simplifying 8 + k = 0 Solving 8 + k = 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 + k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + k = 0 + -8 k = 0 + -8 Combine like terms: 0 + -8 = -8 k = -8 Simplifying k = -8Subproblem 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 = {-8, -2}
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