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Simplifying (k + 9)(k + -6) = 0 Reorder the terms: (9 + k)(k + -6) = 0 Reorder the terms: (9 + k)(-6 + k) = 0 Multiply (9 + k) * (-6 + k) (9(-6 + k) + k(-6 + k)) = 0 ((-6 * 9 + k * 9) + k(-6 + k)) = 0 ((-54 + 9k) + k(-6 + k)) = 0 (-54 + 9k + (-6 * k + k * k)) = 0 (-54 + 9k + (-6k + k2)) = 0 Combine like terms: 9k + -6k = 3k (-54 + 3k + k2) = 0 Solving -54 + 3k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-9 + -1k)(6 + -1k) = 0Subproblem 1
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 = -9Subproblem 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 = {-9, 6}
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