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Simplifying k2 + -8k + -48 = 0 Reorder the terms: -48 + -8k + k2 = 0 Solving -48 + -8k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-4 + -1k)(12 + -1k) = 0Subproblem 1
Set the factor '(-4 + -1k)' equal to zero and attempt to solve: Simplifying -4 + -1k = 0 Solving -4 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1k = 0 + 4 -1k = 0 + 4 Combine like terms: 0 + 4 = 4 -1k = 4 Divide each side by '-1'. k = -4 Simplifying k = -4Subproblem 2
Set the factor '(12 + -1k)' equal to zero and attempt to solve: Simplifying 12 + -1k = 0 Solving 12 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1k = 0 + -12 -1k = 0 + -12 Combine like terms: 0 + -12 = -12 -1k = -12 Divide each side by '-1'. k = 12 Simplifying k = 12Solution
k = {-4, 12}
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