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Simplifying (k + 6)(k + -8) = 0 Reorder the terms: (6 + k)(k + -8) = 0 Reorder the terms: (6 + k)(-8 + k) = 0 Multiply (6 + k) * (-8 + k) (6(-8 + k) + k(-8 + k)) = 0 ((-8 * 6 + k * 6) + k(-8 + k)) = 0 ((-48 + 6k) + k(-8 + k)) = 0 (-48 + 6k + (-8 * k + k * k)) = 0 (-48 + 6k + (-8k + k2)) = 0 Combine like terms: 6k + -8k = -2k (-48 + -2k + k2) = 0 Solving -48 + -2k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-6 + -1k)(8 + -1k) = 0Subproblem 1
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 = -6Subproblem 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 = {-6, 8}
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