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Simplifying 6k2 + -54k = 0 Reorder the terms: -54k + 6k2 = 0 Solving -54k + 6k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '6k'. 6k(-9 + k) = 0 Ignore the factor 6.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 + k)' equal to zero and attempt to solve: Simplifying -9 + k = 0 Solving -9 + k = 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 + k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + k = 0 + 9 k = 0 + 9 Combine like terms: 0 + 9 = 9 k = 9 Simplifying k = 9Solution
k = {0, 9}
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