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Simplifying 18c2z = 6c + 0 Reorder the terms: 18c2z = 0 + 6c Remove the zero: 18c2z = 6c Solving 18c2z = 6c Solving for variable 'c'. Reorder the terms: -6c + 18c2z = 6c + -6c Combine like terms: 6c + -6c = 0 -6c + 18c2z = 0 Factor out the Greatest Common Factor (GCF), '6c'. 6c(-1 + 3cz) = 0 Ignore the factor 6.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 '(-1 + 3cz)' equal to zero and attempt to solve: Simplifying -1 + 3cz = 0 Solving -1 + 3cz = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3cz = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3cz = 0 + 1 3cz = 0 + 1 Combine like terms: 0 + 1 = 1 3cz = 1 Divide each side by '3z'. c = 0.3333333333z-1 Simplifying c = 0.3333333333z-1Solution
c = {0, 0.3333333333z-1}
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