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Simplifying 15k3 + -99k2 + 54k = 0 Reorder the terms: 54k + -99k2 + 15k3 = 0 Solving 54k + -99k2 + 15k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '3k'. 3k(18 + -33k + 5k2) = 0 Factor a trinomial. 3k((3 + -5k)(6 + -1k)) = 0 Ignore the factor 3.Subproblem 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 '(3 + -5k)' equal to zero and attempt to solve: Simplifying 3 + -5k = 0 Solving 3 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5k = 0 + -3 -5k = 0 + -3 Combine like terms: 0 + -3 = -3 -5k = -3 Divide each side by '-5'. k = 0.6 Simplifying k = 0.6Subproblem 3
Set the factor '(6 + -1k)' equal to zero and attempt to solve: Simplifying 6 + -1k = 0 Solving 6 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1k = 0 + -6 -1k = 0 + -6 Combine like terms: 0 + -6 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6Solution
k = {0, 0.6, 6}
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