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Simplifying 2k + -22k2 + 56k = 0 Reorder the terms: 2k + 56k + -22k2 = 0 Combine like terms: 2k + 56k = 58k 58k + -22k2 = 0 Solving 58k + -22k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2k'. 2k(29 + -11k) = 0 Ignore the factor 2.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 '(29 + -11k)' equal to zero and attempt to solve: Simplifying 29 + -11k = 0 Solving 29 + -11k = 0 Move all terms containing k to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -11k = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -11k = 0 + -29 -11k = 0 + -29 Combine like terms: 0 + -29 = -29 -11k = -29 Divide each side by '-11'. k = 2.636363636 Simplifying k = 2.636363636Solution
k = {0, 2.636363636}
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