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Simplifying 3c(-8c + -8) = 0 Reorder the terms: 3c(-8 + -8c) = 0 (-8 * 3c + -8c * 3c) = 0 (-24c + -24c2) = 0 Solving -24c + -24c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '-24c'. -24c(1 + c) = 0 Ignore the factor -24.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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