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Simplifying 4c(3c + 2d) = 0 (3c * 4c + 2d * 4c) = 0 Reorder the terms: (8cd + 12c2) = 0 (8cd + 12c2) = 0 Solving 8cd + 12c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c'. 4c(2d + 3c) = 0 Ignore the factor 4.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 '(2d + 3c)' equal to zero and attempt to solve: Simplifying 2d + 3c = 0 Reorder the terms: 3c + 2d = 0 Solving 3c + 2d = 0 Move all terms containing c to the left, all other terms to the right. Add '-2d' to each side of the equation. 3c + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 3c + 0 = 0 + -2d 3c = 0 + -2d Remove the zero: 3c = -2d Divide each side by '3'. c = -0.6666666667d Simplifying c = -0.6666666667dSolution
c = {0, -0.6666666667d}
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