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Simplifying 16k2 + -312k = 0 Reorder the terms: -312k + 16k2 = 0 Solving -312k + 16k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '8k'. 8k(-39 + 2k) = 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 '(-39 + 2k)' equal to zero and attempt to solve: Simplifying -39 + 2k = 0 Solving -39 + 2k = 0 Move all terms containing k to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 2k = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 2k = 0 + 39 2k = 0 + 39 Combine like terms: 0 + 39 = 39 2k = 39 Divide each side by '2'. k = 19.5 Simplifying k = 19.5Solution
k = {0, 19.5}
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