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