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Simplifying 3k(3k + 10) = 0 Reorder the terms: 3k(10 + 3k) = 0 (10 * 3k + 3k * 3k) = 0 (30k + 9k2) = 0 Solving 30k + 9k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '3k'. 3k(10 + 3k) = 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 '(10 + 3k)' equal to zero and attempt to solve: Simplifying 10 + 3k = 0 Solving 10 + 3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3k = 0 + -10 3k = 0 + -10 Combine like terms: 0 + -10 = -10 3k = -10 Divide each side by '3'. k = -3.333333333 Simplifying k = -3.333333333Solution
k = {0, -3.333333333}
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