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Simplifying k2 + -12k + -64 = 0 Reorder the terms: -64 + -12k + k2 = 0 Solving -64 + -12k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-4 + -1k)(16 + -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 '(16 + -1k)' equal to zero and attempt to solve: Simplifying 16 + -1k = 0 Solving 16 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1k = 0 + -16 -1k = 0 + -16 Combine like terms: 0 + -16 = -16 -1k = -16 Divide each side by '-1'. k = 16 Simplifying k = 16Solution
k = {-4, 16}
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