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Simplifying 3k3 = 6k Solving 3k3 = 6k Solving for variable 'k'. Reorder the terms: -6k + 3k3 = 6k + -6k Combine like terms: 6k + -6k = 0 -6k + 3k3 = 0 Factor out the Greatest Common Factor (GCF), '3k'. 3k(-2 + k2) = 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 + k2)' equal to zero and attempt to solve: Simplifying -2 + k2 = 0 Solving -2 + k2 = 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 + k2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + k2 = 0 + 2 k2 = 0 + 2 Combine like terms: 0 + 2 = 2 k2 = 2 Simplifying k2 = 2 Take the square root of each side: k = {-1.414213562, 1.414213562}Solution
k = {0, -1.414213562, 1.414213562}
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