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Simplifying c2 + -4c = 4c Reorder the terms: -4c + c2 = 4c Solving -4c + c2 = 4c Solving for variable 'c'. Reorder the terms: -4c + -4c + c2 = 4c + -4c Combine like terms: -4c + -4c = -8c -8c + c2 = 4c + -4c Combine like terms: 4c + -4c = 0 -8c + c2 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(-8 + c) = 0Subproblem 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 '(-8 + c)' equal to zero and attempt to solve: Simplifying -8 + c = 0 Solving -8 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + c = 0 + 8 c = 0 + 8 Combine like terms: 0 + 8 = 8 c = 8 Simplifying c = 8Solution
c = {0, 8}
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