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Simplifying k2 = -9 + 6k Solving k2 = -9 + 6k Solving for variable 'k'. Reorder the terms: 9 + -6k + k2 = -9 + 6k + 9 + -6k Reorder the terms: 9 + -6k + k2 = -9 + 9 + 6k + -6k Combine like terms: -9 + 9 = 0 9 + -6k + k2 = 0 + 6k + -6k 9 + -6k + k2 = 6k + -6k Combine like terms: 6k + -6k = 0 9 + -6k + k2 = 0 Factor a trinomial. (3 + -1k)(3 + -1k) = 0Subproblem 1
Set the factor '(3 + -1k)' equal to zero and attempt to solve: Simplifying 3 + -1k = 0 Solving 3 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = 0 + -3 -1k = 0 + -3 Combine like terms: 0 + -3 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3Subproblem 2
Set the factor '(3 + -1k)' equal to zero and attempt to solve: Simplifying 3 + -1k = 0 Solving 3 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = 0 + -3 -1k = 0 + -3 Combine like terms: 0 + -3 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3Solution
k = {3, 3}
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