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Simplifying 5k3 + -18k2 + -8k + 0 = 0 Reorder the terms: 0 + -8k + -18k2 + 5k3 = 0 Remove the zero: -8k + -18k2 + 5k3 = 0 Solving -8k + -18k2 + 5k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(-8 + -18k + 5k2) = 0 Factor a trinomial. k((-2 + -5k)(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 '(-2 + -5k)' equal to zero and attempt to solve: Simplifying -2 + -5k = 0 Solving -2 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5k = 0 + 2 -5k = 0 + 2 Combine like terms: 0 + 2 = 2 -5k = 2 Divide each side by '-5'. k = -0.4 Simplifying k = -0.4Subproblem 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, -0.4, 4}
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