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Simplifying 6c(3c + 1) = 0 Reorder the terms: 6c(1 + 3c) = 0 (1 * 6c + 3c * 6c) = 0 (6c + 18c2) = 0 Solving 6c + 18c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '6c'. 6c(1 + 3c) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(1 + 3c)' equal to zero and attempt to solve: Simplifying 1 + 3c = 0 Solving 1 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3c = 0 + -1 3c = 0 + -1 Combine like terms: 0 + -1 = -1 3c = -1 Divide each side by '3'. c = -0.3333333333 Simplifying c = -0.3333333333Solution
c = {0, -0.3333333333}
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