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Simplifying 30c + -15cd + 45c = 0 Reorder the terms: 30c + 45c + -15cd = 0 Combine like terms: 30c + 45c = 75c 75c + -15cd = 0 Solving 75c + -15cd = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '15c'. 15c(5 + -1d) = 0 Ignore the factor 15.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 '(5 + -1d)' equal to zero and attempt to solve: Simplifying 5 + -1d = 0 Solving 5 + -1d = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1d = 0 + -5 -1d = 0 + -5 Combine like terms: 0 + -5 = -5 -1d = -5 Add 'd' to each side of the equation. -1d + d = -5 + d Combine like terms: -1d + d = 0 0 = -5 + d Simplifying 0 = -5 + d The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
c = {0}
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