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Simplifying 3c2 + 12c = -15c Reorder the terms: 12c + 3c2 = -15c Solving 12c + 3c2 = -15c Solving for variable 'c'. Reorder the terms: 12c + 15c + 3c2 = -15c + 15c Combine like terms: 12c + 15c = 27c 27c + 3c2 = -15c + 15c Combine like terms: -15c + 15c = 0 27c + 3c2 = 0 Factor out the Greatest Common Factor (GCF), '3c'. 3c(9 + 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 '(9 + c)' equal to zero and attempt to solve: Simplifying 9 + c = 0 Solving 9 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + c = 0 + -9 c = 0 + -9 Combine like terms: 0 + -9 = -9 c = -9 Simplifying c = -9Solution
c = {0, -9}
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