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Simplifying 3k3 = 12k Solving 3k3 = 12k Solving for variable 'k'. Reorder the terms: -12k + 3k3 = 12k + -12k Combine like terms: 12k + -12k = 0 -12k + 3k3 = 0 Factor out the Greatest Common Factor (GCF), '3k'. 3k(-4 + k2) = 0 Factor a difference between two squares. 3k((2 + k)(-2 + k)) = 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 '(2 + k)' equal to zero and attempt to solve: Simplifying 2 + k = 0 Solving 2 + k = 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 + k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + k = 0 + -2 k = 0 + -2 Combine like terms: 0 + -2 = -2 k = -2 Simplifying k = -2Subproblem 3
Set the factor '(-2 + k)' equal to zero and attempt to solve: Simplifying -2 + k = 0 Solving -2 + k = 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 + k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + k = 0 + 2 k = 0 + 2 Combine like terms: 0 + 2 = 2 k = 2 Simplifying k = 2Solution
k = {0, -2, 2}
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