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Simplifying 9c2 = 30c + 39c Combine like terms: 30c + 39c = 69c 9c2 = 69c Solving 9c2 = 69c Solving for variable 'c'. Reorder the terms: -69c + 9c2 = 69c + -69c Combine like terms: 69c + -69c = 0 -69c + 9c2 = 0 Factor out the Greatest Common Factor (GCF), '3c'. 3c(-23 + 3c) = 0 Ignore the factor 3.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 '(-23 + 3c)' equal to zero and attempt to solve: Simplifying -23 + 3c = 0 Solving -23 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 3c = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 3c = 0 + 23 3c = 0 + 23 Combine like terms: 0 + 23 = 23 3c = 23 Divide each side by '3'. c = 7.666666667 Simplifying c = 7.666666667Solution
c = {0, 7.666666667}
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