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Simplifying -1c2 + -6c = 8 Reorder the terms: -6c + -1c2 = 8 Solving -6c + -1c2 = 8 Solving for variable 'c'. Reorder the terms: -8 + -6c + -1c2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -6c + -1c2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 6c + c2) = 0 Factor a trinomial. -1((4 + c)(2 + c)) = 0 Ignore the factor -1.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 '(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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