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Simplifying 2c(c + -1) = 0 Reorder the terms: 2c(-1 + c) = 0 (-1 * 2c + c * 2c) = 0 (-2c + 2c2) = 0 Solving -2c + 2c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c'. 2c(-1 + c) = 0 Ignore the factor 2.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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