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Simplifying 4k3 + -32k = 0 Reorder the terms: -32k + 4k3 = 0 Solving -32k + 4k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4k'. 4k(-8 + k2) = 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 '(-8 + k2)' equal to zero and attempt to solve: Simplifying -8 + k2 = 0 Solving -8 + k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + k2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + k2 = 0 + 8 k2 = 0 + 8 Combine like terms: 0 + 8 = 8 k2 = 8 Simplifying k2 = 8 Take the square root of each side: k = {-2.828427125, 2.828427125}Solution
k = {0, -2.828427125, 2.828427125}
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