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Simplifying 3k2 + -11k + -144 = 0 Reorder the terms: -144 + -11k + 3k2 = 0 Solving -144 + -11k + 3k2 = 0 Solving for variable 'k'. Factor a trinomial. (-16 + -3k)(9 + -1k) = 0Subproblem 1
Set the factor '(-16 + -3k)' equal to zero and attempt to solve: Simplifying -16 + -3k = 0 Solving -16 + -3k = 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 + -3k = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3k = 0 + 16 -3k = 0 + 16 Combine like terms: 0 + 16 = 16 -3k = 16 Divide each side by '-3'. k = -5.333333333 Simplifying k = -5.333333333Subproblem 2
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 = 9Solution
k = {-5.333333333, 9}
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