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Simplifying 8k2 + 36k = 0 Reorder the terms: 36k + 8k2 = 0 Solving 36k + 8k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4k'. 4k(9 + 2k) = 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 '(9 + 2k)' equal to zero and attempt to solve: Simplifying 9 + 2k = 0 Solving 9 + 2k = 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 + 2k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2k = 0 + -9 2k = 0 + -9 Combine like terms: 0 + -9 = -9 2k = -9 Divide each side by '2'. k = -4.5 Simplifying k = -4.5Solution
k = {0, -4.5}
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