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Simplifying 4c(c + d) = 0 (c * 4c + d * 4c) = 0 Reorder the terms: (4cd + 4c2) = 0 (4cd + 4c2) = 0 Solving 4cd + 4c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c'. 4c(d + c) = 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 '(d + c)' equal to zero and attempt to solve: Simplifying d + c = 0 Reorder the terms: c + d = 0 Solving c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 c + 0 = 0 + -1d c = 0 + -1d Remove the zero: c = -1d Simplifying c = -1dSolution
c = {0, -1d}
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