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Simplifying 8 + 4c(c + 5) = -8 Reorder the terms: 8 + 4c(5 + c) = -8 8 + (5 * 4c + c * 4c) = -8 8 + (20c + 4c2) = -8 Solving 8 + 20c + 4c2 = -8 Solving for variable 'c'. Reorder the terms: 8 + 8 + 20c + 4c2 = -8 + 8 Combine like terms: 8 + 8 = 16 16 + 20c + 4c2 = -8 + 8 Combine like terms: -8 + 8 = 0 16 + 20c + 4c2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4 + 5c + c2) = 0 Factor a trinomial. 4((4 + c)(1 + c)) = 0 Ignore the factor 4.Subproblem 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 '(1 + c)' equal to zero and attempt to solve: Simplifying 1 + c = 0 Solving 1 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c = 0 + -1 c = 0 + -1 Combine like terms: 0 + -1 = -1 c = -1 Simplifying c = -1Solution
c = {-4, -1}
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