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