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Simplifying 7k2 + -2k = 0 Reorder the terms: -2k + 7k2 = 0 Solving -2k + 7k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(-2 + 7k) = 0Subproblem 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 '(-2 + 7k)' equal to zero and attempt to solve: Simplifying -2 + 7k = 0 Solving -2 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7k = 0 + 2 7k = 0 + 2 Combine like terms: 0 + 2 = 2 7k = 2 Divide each side by '7'. k = 0.2857142857 Simplifying k = 0.2857142857Solution
k = {0, 0.2857142857}
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