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Simplifying k2 = 28 + -12k Solving k2 = 28 + -12k Solving for variable 'k'. Reorder the terms: -28 + 12k + k2 = 28 + -12k + -28 + 12k Reorder the terms: -28 + 12k + k2 = 28 + -28 + -12k + 12k Combine like terms: 28 + -28 = 0 -28 + 12k + k2 = 0 + -12k + 12k -28 + 12k + k2 = -12k + 12k Combine like terms: -12k + 12k = 0 -28 + 12k + k2 = 0 Factor a trinomial. (-14 + -1k)(2 + -1k) = 0Subproblem 1
Set the factor '(-14 + -1k)' equal to zero and attempt to solve: Simplifying -14 + -1k = 0 Solving -14 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1k = 0 + 14 -1k = 0 + 14 Combine like terms: 0 + 14 = 14 -1k = 14 Divide each side by '-1'. k = -14 Simplifying k = -14Subproblem 2
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 = 2Solution
k = {-14, 2}
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