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Simplifying 2k(6k + 1) = 0 Reorder the terms: 2k(1 + 6k) = 0 (1 * 2k + 6k * 2k) = 0 (2k + 12k2) = 0 Solving 2k + 12k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2k'. 2k(1 + 6k) = 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 '(1 + 6k)' equal to zero and attempt to solve: Simplifying 1 + 6k = 0 Solving 1 + 6k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6k = 0 + -1 6k = 0 + -1 Combine like terms: 0 + -1 = -1 6k = -1 Divide each side by '6'. k = -0.1666666667 Simplifying k = -0.1666666667Solution
k = {0, -0.1666666667}
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