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Simplifying 14k2 + 8k = 0 Reorder the terms: 8k + 14k2 = 0 Solving 8k + 14k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2k'. 2k(4 + 7k) = 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 '(4 + 7k)' equal to zero and attempt to solve: Simplifying 4 + 7k = 0 Solving 4 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7k = 0 + -4 7k = 0 + -4 Combine like terms: 0 + -4 = -4 7k = -4 Divide each side by '7'. k = -0.5714285714 Simplifying k = -0.5714285714Solution
k = {0, -0.5714285714}
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