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Simplifying c(3c + 16) = 0 Reorder the terms: c(16 + 3c) = 0 (16 * c + 3c * c) = 0 (16c + 3c2) = 0 Solving 16c + 3c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(16 + 3c) = 0Subproblem 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 '(16 + 3c)' equal to zero and attempt to solve: Simplifying 16 + 3c = 0 Solving 16 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3c = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3c = 0 + -16 3c = 0 + -16 Combine like terms: 0 + -16 = -16 3c = -16 Divide each side by '3'. c = -5.333333333 Simplifying c = -5.333333333Solution
c = {0, -5.333333333}
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