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Simplifying k2 = -12 + 8k Solving k2 = -12 + 8k Solving for variable 'k'. Reorder the terms: 12 + -8k + k2 = -12 + 8k + 12 + -8k Reorder the terms: 12 + -8k + k2 = -12 + 12 + 8k + -8k Combine like terms: -12 + 12 = 0 12 + -8k + k2 = 0 + 8k + -8k 12 + -8k + k2 = 8k + -8k Combine like terms: 8k + -8k = 0 12 + -8k + k2 = 0 Factor a trinomial. (2 + -1k)(6 + -1k) = 0Subproblem 1
Set the factor '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 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 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2Subproblem 2
Set the factor '(6 + -1k)' equal to zero and attempt to solve: Simplifying 6 + -1k = 0 Solving 6 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1k = 0 + -6 -1k = 0 + -6 Combine like terms: 0 + -6 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6Solution
k = {2, 6}
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