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Simplifying 8k = k3 Solving 8k = k3 Solving for variable 'k'. Combine like terms: k3 + -1k3 = 0 8k + -1k3 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(8 + -1k2) = 0Subproblem 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 + -1k2)' equal to zero and attempt to solve: Simplifying 8 + -1k2 = 0 Solving 8 + -1k2 = 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 + -1k2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1k2 = 0 + -8 -1k2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1k2 = -8 Divide each side by '-1'. 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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