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Simplifying 100k3 + -36k = 0 Reorder the terms: -36k + 100k3 = 0 Solving -36k + 100k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4k'. 4k(-9 + 25k2) = 0 Factor a difference between two squares. 4k((3 + 5k)(-3 + 5k)) = 0 Ignore the factor 4.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 '(-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 = 0.6Solution
k = {0, -0.6, 0.6}
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