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Simplifying c(3c + 4d) = 0 (3c * c + 4d * c) = 0 Reorder the terms: (4cd + 3c2) = 0 (4cd + 3c2) = 0 Solving 4cd + 3c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(4d + 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 '(4d + 3c)' equal to zero and attempt to solve: Simplifying 4d + 3c = 0 Reorder the terms: 3c + 4d = 0 Solving 3c + 4d = 0 Move all terms containing c to the left, all other terms to the right. Add '-4d' to each side of the equation. 3c + 4d + -4d = 0 + -4d Combine like terms: 4d + -4d = 0 3c + 0 = 0 + -4d 3c = 0 + -4d Remove the zero: 3c = -4d Divide each side by '3'. c = -1.333333333d Simplifying c = -1.333333333dSolution
c = {0, -1.333333333d}
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