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Simplifying 3c(2c + -1) = 0 Reorder the terms: 3c(-1 + 2c) = 0 (-1 * 3c + 2c * 3c) = 0 (-3c + 6c2) = 0 Solving -3c + 6c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c'. 3c(-1 + 2c) = 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 '(-1 + 2c)' equal to zero and attempt to solve: Simplifying -1 + 2c = 0 Solving -1 + 2c = 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 + 2c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2c = 0 + 1 2c = 0 + 1 Combine like terms: 0 + 1 = 1 2c = 1 Divide each side by '2'. c = 0.5 Simplifying c = 0.5Solution
c = {0, 0.5}
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