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Simplifying 4k2 + -11k + -80 = 3k2 Reorder the terms: -80 + -11k + 4k2 = 3k2 Solving -80 + -11k + 4k2 = 3k2 Solving for variable 'k'. Combine like terms: 4k2 + -3k2 = 1k2 -80 + -11k + 1k2 = 3k2 + -3k2 Combine like terms: 3k2 + -3k2 = 0 -80 + -11k + 1k2 = 0 Factor a trinomial. (-5 + -1k)(16 + -1k) = 0Subproblem 1
Set the factor '(-5 + -1k)' equal to zero and attempt to solve: Simplifying -5 + -1k = 0 Solving -5 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1k = 0 + 5 -1k = 0 + 5 Combine like terms: 0 + 5 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5Subproblem 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 = {-5, 16}
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