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Simplifying (6c + 6)(6c + 6) = 0 Reorder the terms: (6 + 6c)(6c + 6) = 0 Reorder the terms: (6 + 6c)(6 + 6c) = 0 Multiply (6 + 6c) * (6 + 6c) (6(6 + 6c) + 6c * (6 + 6c)) = 0 ((6 * 6 + 6c * 6) + 6c * (6 + 6c)) = 0 ((36 + 36c) + 6c * (6 + 6c)) = 0 (36 + 36c + (6 * 6c + 6c * 6c)) = 0 (36 + 36c + (36c + 36c2)) = 0 Combine like terms: 36c + 36c = 72c (36 + 72c + 36c2) = 0 Solving 36 + 72c + 36c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '36'. 36(1 + 2c + c2) = 0 Factor a trinomial. 36((1 + c)(1 + c)) = 0 Ignore the factor 36.Subproblem 1
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 = -1Subproblem 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 = {-1, -1}
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