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Simplifying k2 = 9k + -8 Reorder the terms: k2 = -8 + 9k Solving k2 = -8 + 9k Solving for variable 'k'. Reorder the terms: 8 + -9k + k2 = -8 + 9k + 8 + -9k Reorder the terms: 8 + -9k + k2 = -8 + 8 + 9k + -9k Combine like terms: -8 + 8 = 0 8 + -9k + k2 = 0 + 9k + -9k 8 + -9k + k2 = 9k + -9k Combine like terms: 9k + -9k = 0 8 + -9k + k2 = 0 Factor a trinomial. (1 + -1k)(8 + -1k) = 0Subproblem 1
Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1Subproblem 2
Set the factor '(8 + -1k)' equal to zero and attempt to solve: Simplifying 8 + -1k = 0 Solving 8 + -1k = 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 + -1k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 0 + -8 -1k = 0 + -8 Combine like terms: 0 + -8 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8Solution
k = {1, 8}
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