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Simplifying 4c(3c + 15) = 0 Reorder the terms: 4c(15 + 3c) = 0 (15 * 4c + 3c * 4c) = 0 (60c + 12c2) = 0 Solving 60c + 12c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '12c'. 12c(5 + c) = 0 Ignore the factor 12.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 '(5 + c)' equal to zero and attempt to solve: Simplifying 5 + c = 0 Solving 5 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + c = 0 + -5 c = 0 + -5 Combine like terms: 0 + -5 = -5 c = -5 Simplifying c = -5Solution
c = {0, -5}
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