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Simplifying 6c2 + 66c = -60 Reorder the terms: 66c + 6c2 = -60 Solving 66c + 6c2 = -60 Solving for variable 'c'. Reorder the terms: 60 + 66c + 6c2 = -60 + 60 Combine like terms: -60 + 60 = 0 60 + 66c + 6c2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(10 + 11c + c2) = 0 Factor a trinomial. 6((10 + c)(1 + c)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(10 + c)' equal to zero and attempt to solve: Simplifying 10 + c = 0 Solving 10 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + c = 0 + -10 c = 0 + -10 Combine like terms: 0 + -10 = -10 c = -10 Simplifying c = -10Subproblem 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 = {-10, -1}
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