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Simplifying c2 = -8 + -6c Solving c2 = -8 + -6c Solving for variable 'c'. Reorder the terms: 8 + 6c + c2 = -8 + -6c + 8 + 6c Reorder the terms: 8 + 6c + c2 = -8 + 8 + -6c + 6c Combine like terms: -8 + 8 = 0 8 + 6c + c2 = 0 + -6c + 6c 8 + 6c + c2 = -6c + 6c Combine like terms: -6c + 6c = 0 8 + 6c + c2 = 0 Factor a trinomial. (4 + c)(2 + c) = 0Subproblem 1
Set the factor '(4 + c)' equal to zero and attempt to solve: Simplifying 4 + c = 0 Solving 4 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + c = 0 + -4 c = 0 + -4 Combine like terms: 0 + -4 = -4 c = -4 Simplifying c = -4Subproblem 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 = {-4, -2}
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