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Simplifying 6k2 + -21k = 0 Reorder the terms: -21k + 6k2 = 0 Solving -21k + 6k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '3k'. 3k(-7 + 2k) = 0 Ignore the factor 3.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 '(-7 + 2k)' equal to zero and attempt to solve: Simplifying -7 + 2k = 0 Solving -7 + 2k = 0 Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2k = 0 + 7 2k = 0 + 7 Combine like terms: 0 + 7 = 7 2k = 7 Divide each side by '2'. k = 3.5 Simplifying k = 3.5Solution
k = {0, 3.5}
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