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Simplifying -8 = c2 + 6c + 1 Reorder the terms: -8 = 1 + 6c + c2 Solving -8 = 1 + 6c + c2 Solving for variable 'c'. Combine like terms: -8 + -1 = -9 -9 + -6c + -1c2 = 1 + 6c + c2 + -1 + -6c + -1c2 Reorder the terms: -9 + -6c + -1c2 = 1 + -1 + 6c + -6c + c2 + -1c2 Combine like terms: 1 + -1 = 0 -9 + -6c + -1c2 = 0 + 6c + -6c + c2 + -1c2 -9 + -6c + -1c2 = 6c + -6c + c2 + -1c2 Combine like terms: 6c + -6c = 0 -9 + -6c + -1c2 = 0 + c2 + -1c2 -9 + -6c + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 -9 + -6c + -1c2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 6c + c2) = 0 Factor a trinomial. -1((3 + c)(3 + c)) = 0 Ignore the factor -1.Subproblem 1
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 = -3Subproblem 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 = {-3, -3}
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