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Simplifying 64k2 + -120k = 0 Reorder the terms: -120k + 64k2 = 0 Solving -120k + 64k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '8k'. 8k(-15 + 8k) = 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 '(-15 + 8k)' equal to zero and attempt to solve: Simplifying -15 + 8k = 0 Solving -15 + 8k = 0 Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8k = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 8k = 0 + 15 8k = 0 + 15 Combine like terms: 0 + 15 = 15 8k = 15 Divide each side by '8'. k = 1.875 Simplifying k = 1.875Solution
k = {0, 1.875}
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