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Simplifying 2k(7k + 2) = 0 Reorder the terms: 2k(2 + 7k) = 0 (2 * 2k + 7k * 2k) = 0 (4k + 14k2) = 0 Solving 4k + 14k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2k'. 2k(2 + 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 '(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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