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Simplifying (c + 2)(c + 8) = 0 Reorder the terms: (2 + c)(c + 8) = 0 Reorder the terms: (2 + c)(8 + c) = 0 Multiply (2 + c) * (8 + c) (2(8 + c) + c(8 + c)) = 0 ((8 * 2 + c * 2) + c(8 + c)) = 0 ((16 + 2c) + c(8 + c)) = 0 (16 + 2c + (8 * c + c * c)) = 0 (16 + 2c + (8c + c2)) = 0 Combine like terms: 2c + 8c = 10c (16 + 10c + c2) = 0 Solving 16 + 10c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (8 + c)(2 + c) = 0Subproblem 1
Set the factor '(8 + c)' equal to zero and attempt to solve: Simplifying 8 + c = 0 Solving 8 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + c = 0 + -8 c = 0 + -8 Combine like terms: 0 + -8 = -8 c = -8 Simplifying c = -8Subproblem 2
Set the factor '(2 + c)' equal to zero and attempt to solve: Simplifying 2 + c = 0 Solving 2 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + c = 0 + -2 c = 0 + -2 Combine like terms: 0 + -2 = -2 c = -2 Simplifying c = -2Solution
c = {-8, -2}
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