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Simplifying (3C + -6)(3c + 6) = 0 Reorder the terms: (-6 + 3C)(3c + 6) = 0 Reorder the terms: (-6 + 3C)(6 + 3c) = 0 Multiply (-6 + 3C) * (6 + 3c) (-6(6 + 3c) + 3C * (6 + 3c)) = 0 ((6 * -6 + 3c * -6) + 3C * (6 + 3c)) = 0 ((-36 + -18c) + 3C * (6 + 3c)) = 0 (-36 + -18c + (6 * 3C + 3c * 3C)) = 0 (-36 + -18c + (18C + 9cC)) = 0 Reorder the terms: (-36 + 18C + -18c + 9cC) = 0 (-36 + 18C + -18c + 9cC) = 0 Solving -36 + 18C + -18c + 9cC = 0 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 18C + -18c + 36 + 9cC = 0 + 36 Reorder the terms: -36 + 36 + 18C + -18c + 9cC = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 18C + -18c + 9cC = 0 + 36 18C + -18c + 9cC = 0 + 36 Combine like terms: 0 + 36 = 36 18C + -18c + 9cC = 36 Add '18c' to each side of the equation. 18C + -18c + 18c + 9cC = 36 + 18c Combine like terms: -18c + 18c = 0 18C + 0 + 9cC = 36 + 18c 18C + 9cC = 36 + 18c Reorder the terms: -36 + 18C + -18c + 9cC = 36 + 18c + -36 + -18c Reorder the terms: -36 + 18C + -18c + 9cC = 36 + -36 + 18c + -18c Combine like terms: 36 + -36 = 0 -36 + 18C + -18c + 9cC = 0 + 18c + -18c -36 + 18C + -18c + 9cC = 18c + -18c Combine like terms: 18c + -18c = 0 -36 + 18C + -18c + 9cC = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(-4 + 2C + -2c + cC) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-4 + 2C + -2c + cC)' equal to zero and attempt to solve: Simplifying -4 + 2C + -2c + cC = 0 Solving -4 + 2C + -2c + cC = 0 Move all terms containing C to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2C + -2c + 4 + cC = 0 + 4 Reorder the terms: -4 + 4 + 2C + -2c + cC = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2C + -2c + cC = 0 + 4 2C + -2c + cC = 0 + 4 Combine like terms: 0 + 4 = 4 2C + -2c + cC = 4 Add '2c' to each side of the equation. 2C + -2c + 2c + cC = 4 + 2c Combine like terms: -2c + 2c = 0 2C + 0 + cC = 4 + 2c 2C + cC = 4 + 2c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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