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Simplifying 12c2d + 20cd2 + -4cd = 0 Reorder the terms: -4cd + 20cd2 + 12c2d = 0 Solving -4cd + 20cd2 + 12c2d = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4cd'. 4cd(-1 + 5d + 3c) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'cd' equal to zero and attempt to solve: Simplifying cd = 0 Solving cd = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cd = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + 5d + 3c)' equal to zero and attempt to solve: Simplifying -1 + 5d + 3c = 0 Reorder the terms: -1 + 3c + 5d = 0 Solving -1 + 3c + 5d = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3c + 1 + 5d = 0 + 1 Reorder the terms: -1 + 1 + 3c + 5d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3c + 5d = 0 + 1 3c + 5d = 0 + 1 Combine like terms: 0 + 1 = 1 3c + 5d = 1 Add '-5d' to each side of the equation. 3c + 5d + -5d = 1 + -5d Combine like terms: 5d + -5d = 0 3c + 0 = 1 + -5d 3c = 1 + -5d Divide each side by '3'. c = 0.3333333333 + -1.666666667d Simplifying c = 0.3333333333 + -1.666666667dSolution
c = {0.3333333333 + -1.666666667d}
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