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Simplifying 8c2 = 8c Solving 8c2 = 8c Solving for variable 'c'. Reorder the terms: -8c + 8c2 = 8c + -8c Combine like terms: 8c + -8c = 0 -8c + 8c2 = 0 Factor out the Greatest Common Factor (GCF), '8c'. 8c(-1 + c) = 0 Ignore the factor 8.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 + c)' equal to zero and attempt to solve: Simplifying -1 + c = 0 Solving -1 + c = 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 + c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + c = 0 + 1 c = 0 + 1 Combine like terms: 0 + 1 = 1 c = 1 Simplifying c = 1Solution
c = {0, 1}
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