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Simplifying 2k3 + -32k = 0 Reorder the terms: -32k + 2k3 = 0 Solving -32k + 2k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2k'. 2k(-16 + k2) = 0 Factor a difference between two squares. 2k((4 + k)(-4 + k)) = 0 Ignore the factor 2.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 '(4 + k)' equal to zero and attempt to solve: Simplifying 4 + k = 0 Solving 4 + k = 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 + k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + k = 0 + -4 k = 0 + -4 Combine like terms: 0 + -4 = -4 k = -4 Simplifying k = -4Subproblem 3
Set the factor '(-4 + k)' equal to zero and attempt to solve: Simplifying -4 + k = 0 Solving -4 + k = 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 + k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + k = 0 + 4 k = 0 + 4 Combine like terms: 0 + 4 = 4 k = 4 Simplifying k = 4Solution
k = {0, -4, 4}
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