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Simplifying c2 + 4c + 8c + 32 = 0 Reorder the terms: 32 + 4c + 8c + c2 = 0 Combine like terms: 4c + 8c = 12c 32 + 12c + c2 = 0 Solving 32 + 12c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (8 + c)(4 + 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 '(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 = -4Solution
c = {-8, -4}
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