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Simplifying 36k2 + 56k = 0 Reorder the terms: 56k + 36k2 = 0 Solving 56k + 36k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4k'. 4k(14 + 9k) = 0 Ignore the factor 4.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 '(14 + 9k)' equal to zero and attempt to solve: Simplifying 14 + 9k = 0 Solving 14 + 9k = 0 Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 9k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 9k = 0 + -14 9k = 0 + -14 Combine like terms: 0 + -14 = -14 9k = -14 Divide each side by '9'. k = -1.555555556 Simplifying k = -1.555555556Solution
k = {0, -1.555555556}
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