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Simplifying 30c2 + -15cd + 45c = 0 Reorder the terms: 45c + -15cd + 30c2 = 0 Solving 45c + -15cd + 30c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '15c'. 15c(3 + -1d + 2c) = 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 '(3 + -1d + 2c)' equal to zero and attempt to solve: Simplifying 3 + -1d + 2c = 0 Reorder the terms: 3 + 2c + -1d = 0 Solving 3 + 2c + -1d = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2c + -3 + -1d = 0 + -3 Reorder the terms: 3 + -3 + 2c + -1d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2c + -1d = 0 + -3 2c + -1d = 0 + -3 Combine like terms: 0 + -3 = -3 2c + -1d = -3 Add 'd' to each side of the equation. 2c + -1d + d = -3 + d Combine like terms: -1d + d = 0 2c + 0 = -3 + d 2c = -3 + d Divide each side by '2'. c = -1.5 + 0.5d Simplifying c = -1.5 + 0.5dSolution
c = {0, -1.5 + 0.5d}
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