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Simplifying (c + 7)(c + 2) = -4 Reorder the terms: (7 + c)(c + 2) = -4 Reorder the terms: (7 + c)(2 + c) = -4 Multiply (7 + c) * (2 + c) (7(2 + c) + c(2 + c)) = -4 ((2 * 7 + c * 7) + c(2 + c)) = -4 ((14 + 7c) + c(2 + c)) = -4 (14 + 7c + (2 * c + c * c)) = -4 (14 + 7c + (2c + c2)) = -4 Combine like terms: 7c + 2c = 9c (14 + 9c + c2) = -4 Solving 14 + 9c + c2 = -4 Solving for variable 'c'. Reorder the terms: 14 + 4 + 9c + c2 = -4 + 4 Combine like terms: 14 + 4 = 18 18 + 9c + c2 = -4 + 4 Combine like terms: -4 + 4 = 0 18 + 9c + c2 = 0 Factor a trinomial. (6 + c)(3 + c) = 0Subproblem 1
Set the factor '(6 + c)' equal to zero and attempt to solve: Simplifying 6 + c = 0 Solving 6 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + c = 0 + -6 c = 0 + -6 Combine like terms: 0 + -6 = -6 c = -6 Simplifying c = -6Subproblem 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 = {-6, -3}
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