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Simplifying 21c2 = 6c Solving 21c2 = 6c Solving for variable 'c'. Reorder the terms: -6c + 21c2 = 6c + -6c Combine like terms: 6c + -6c = 0 -6c + 21c2 = 0 Factor out the Greatest Common Factor (GCF), '3c'. 3c(-2 + 7c) = 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 '(-2 + 7c)' equal to zero and attempt to solve: Simplifying -2 + 7c = 0 Solving -2 + 7c = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7c = 0 + 2 7c = 0 + 2 Combine like terms: 0 + 2 = 2 7c = 2 Divide each side by '7'. c = 0.2857142857 Simplifying c = 0.2857142857Solution
c = {0, 0.2857142857}
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