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Simplifying c(3c + -2) = 4c Reorder the terms: c(-2 + 3c) = 4c (-2 * c + 3c * c) = 4c (-2c + 3c2) = 4c Solving -2c + 3c2 = 4c Solving for variable 'c'. Reorder the terms: -2c + -4c + 3c2 = 4c + -4c Combine like terms: -2c + -4c = -6c -6c + 3c2 = 4c + -4c Combine like terms: 4c + -4c = 0 -6c + 3c2 = 0 Factor out the Greatest Common Factor (GCF), '3c'. 3c(-2 + 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 '(-2 + c)' equal to zero and attempt to solve: Simplifying -2 + c = 0 Solving -2 + c = 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 + c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + c = 0 + 2 c = 0 + 2 Combine like terms: 0 + 2 = 2 c = 2 Simplifying c = 2Solution
c = {0, 2}
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