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Simplifying 8k2 = -16k Solving 8k2 = -16k Solving for variable 'k'. Reorder the terms: 16k + 8k2 = -16k + 16k Combine like terms: -16k + 16k = 0 16k + 8k2 = 0 Factor out the Greatest Common Factor (GCF), '8k'. 8k(2 + k) = 0 Ignore the factor 8.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 = -2Solution
k = {0, -2}
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