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Simplifying k2 + -6k + -9 = 18 Reorder the terms: -9 + -6k + k2 = 18 Solving -9 + -6k + k2 = 18 Solving for variable 'k'. Reorder the terms: -9 + -18 + -6k + k2 = 18 + -18 Combine like terms: -9 + -18 = -27 -27 + -6k + k2 = 18 + -18 Combine like terms: 18 + -18 = 0 -27 + -6k + k2 = 0 Factor a trinomial. (-3 + -1k)(9 + -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 '(9 + -1k)' equal to zero and attempt to solve: Simplifying 9 + -1k = 0 Solving 9 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 0 + -9 -1k = 0 + -9 Combine like terms: 0 + -9 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9Solution
k = {-3, 9}
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