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Simplifying (3c + 9)(3c + 9) = 0 Reorder the terms: (9 + 3c)(3c + 9) = 0 Reorder the terms: (9 + 3c)(9 + 3c) = 0 Multiply (9 + 3c) * (9 + 3c) (9(9 + 3c) + 3c * (9 + 3c)) = 0 ((9 * 9 + 3c * 9) + 3c * (9 + 3c)) = 0 ((81 + 27c) + 3c * (9 + 3c)) = 0 (81 + 27c + (9 * 3c + 3c * 3c)) = 0 (81 + 27c + (27c + 9c2)) = 0 Combine like terms: 27c + 27c = 54c (81 + 54c + 9c2) = 0 Solving 81 + 54c + 9c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '9'. 9(9 + 6c + c2) = 0 Factor a trinomial. 9((3 + c)(3 + c)) = 0 Ignore the factor 9.Subproblem 1
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 = -3Subproblem 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 = {-3, -3}
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