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Simplifying -12c2 = 36c Solving -12c2 = 36c Solving for variable 'c'. Reorder the terms: -36c + -12c2 = 36c + -36c Combine like terms: 36c + -36c = 0 -36c + -12c2 = 0 Factor out the Greatest Common Factor (GCF), '-12c'. -12c(3 + c) = 0 Ignore the factor -12.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 '(3 + c)' equal to zero and attempt to solve: Simplifying 3 + c = 0 Solving 3 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + c = 0 + -3 c = 0 + -3 Combine like terms: 0 + -3 = -3 c = -3 Simplifying c = -3Solution
c = {0, -3}
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