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Simplifying 3k(8k + 1) = 0 Reorder the terms: 3k(1 + 8k) = 0 (1 * 3k + 8k * 3k) = 0 (3k + 24k2) = 0 Solving 3k + 24k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '3k'. 3k(1 + 8k) = 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 '(1 + 8k)' equal to zero and attempt to solve: Simplifying 1 + 8k = 0 Solving 1 + 8k = 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 + 8k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8k = 0 + -1 8k = 0 + -1 Combine like terms: 0 + -1 = -1 8k = -1 Divide each side by '8'. k = -0.125 Simplifying k = -0.125Solution
k = {0, -0.125}
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