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Simplifying 3k3 + -8k2 + -16k = 0 Reorder the terms: -16k + -8k2 + 3k3 = 0 Solving -16k + -8k2 + 3k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(-16 + -8k + 3k2) = 0 Factor a trinomial. k((-4 + -3k)(4 + -1k)) = 0Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 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 = -1.333333333Subproblem 3
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 = 4Solution
k = {0, -1.333333333, 4}
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