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Simplifying 80k2 + -72k = 0 Reorder the terms: -72k + 80k2 = 0 Solving -72k + 80k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '8k'. 8k(-9 + 10k) = 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 '(-9 + 10k)' equal to zero and attempt to solve: Simplifying -9 + 10k = 0 Solving -9 + 10k = 0 Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 10k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 10k = 0 + 9 10k = 0 + 9 Combine like terms: 0 + 9 = 9 10k = 9 Divide each side by '10'. k = 0.9 Simplifying k = 0.9Solution
k = {0, 0.9}
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