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Simplifying 3c = c(c + -1) Reorder the terms: 3c = c(-1 + c) 3c = (-1 * c + c * c) 3c = (-1c + c2) Solving 3c = -1c + c2 Solving for variable 'c'. Combine like terms: 3c + c = 4c 4c + -1c2 = -1c + c2 + c + -1c2 Reorder the terms: 4c + -1c2 = -1c + c + c2 + -1c2 Combine like terms: -1c + c = 0 4c + -1c2 = 0 + c2 + -1c2 4c + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 4c + -1c2 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(4 + -1c) = 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 '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Solution
c = {0, 4}
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