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Simplifying c2 = -24 + -11c Solving c2 = -24 + -11c Solving for variable 'c'. Reorder the terms: 24 + 11c + c2 = -24 + -11c + 24 + 11c Reorder the terms: 24 + 11c + c2 = -24 + 24 + -11c + 11c Combine like terms: -24 + 24 = 0 24 + 11c + c2 = 0 + -11c + 11c 24 + 11c + c2 = -11c + 11c Combine like terms: -11c + 11c = 0 24 + 11c + c2 = 0 Factor a trinomial. (8 + c)(3 + 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 '(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 = {-8, -3}
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