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Simplifying -9k2 + 24k + -16 = 0 Reorder the terms: -16 + 24k + -9k2 = 0 Solving -16 + 24k + -9k2 = 0 Solving for variable 'k'. Factor a trinomial. (-4 + 3k)(4 + -3k) = 0Subproblem 1
Set the factor '(-4 + 3k)' equal to zero and attempt to solve: Simplifying -4 + 3k = 0 Solving -4 + 3k = 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 + 3k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3k = 0 + 4 3k = 0 + 4 Combine like terms: 0 + 4 = 4 3k = 4 Divide each side by '3'. k = 1.333333333 Simplifying k = 1.333333333Subproblem 2
Set the factor '(4 + -3k)' equal to zero and attempt to solve: Simplifying 4 + -3k = 0 Solving 4 + -3k = 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 + -3k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3k = 0 + -4 -3k = 0 + -4 Combine like terms: 0 + -4 = -4 -3k = -4 Divide each side by '-3'. k = 1.333333333 Simplifying k = 1.333333333Solution
k = {1.333333333, 1.333333333}
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