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Simplifying 11k2 + -21k = 0 Reorder the terms: -21k + 11k2 = 0 Solving -21k + 11k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(-21 + 11k) = 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 '(-21 + 11k)' equal to zero and attempt to solve: Simplifying -21 + 11k = 0 Solving -21 + 11k = 0 Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 11k = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 11k = 0 + 21 11k = 0 + 21 Combine like terms: 0 + 21 = 21 11k = 21 Divide each side by '11'. k = 1.909090909 Simplifying k = 1.909090909Solution
k = {0, 1.909090909}
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