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Simplifying -10c2d = 15cd2 Solving -10c2d = 15cd2 Solving for variable 'c'. Reorder the terms: -15cd2 + -10c2d = 15cd2 + -15cd2 Combine like terms: 15cd2 + -15cd2 = 0 -15cd2 + -10c2d = 0 Factor out the Greatest Common Factor (GCF), '-5cd'. -5cd(3d + 2c) = 0 Ignore the factor -5.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 '(3d + 2c)' equal to zero and attempt to solve: Simplifying 3d + 2c = 0 Reorder the terms: 2c + 3d = 0 Solving 2c + 3d = 0 Move all terms containing c to the left, all other terms to the right. Add '-3d' to each side of the equation. 2c + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 2c + 0 = 0 + -3d 2c = 0 + -3d Remove the zero: 2c = -3d Divide each side by '2'. c = -1.5d Simplifying c = -1.5dSolution
c = {-1.5d}
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