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Simplifying c2 + 11c + 18 = 0 Reorder the terms: 18 + 11c + c2 = 0 Solving 18 + 11c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (9 + c)(2 + c) = 0Subproblem 1
Set the factor '(9 + c)' equal to zero and attempt to solve: Simplifying 9 + c = 0 Solving 9 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + c = 0 + -9 c = 0 + -9 Combine like terms: 0 + -9 = -9 c = -9 Simplifying c = -9Subproblem 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 = {-9, -2}
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