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Simplifying (c + 3)(c + 3) = 0 Reorder the terms: (3 + c)(c + 3) = 0 Reorder the terms: (3 + c)(3 + c) = 0 Multiply (3 + c) * (3 + c) (3(3 + c) + c(3 + c)) = 0 ((3 * 3 + c * 3) + c(3 + c)) = 0 ((9 + 3c) + c(3 + c)) = 0 (9 + 3c + (3 * c + c * c)) = 0 (9 + 3c + (3c + c2)) = 0 Combine like terms: 3c + 3c = 6c (9 + 6c + c2) = 0 Solving 9 + 6c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (3 + c)(3 + c) = 0Subproblem 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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