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Simplifying c2 = -24 + -10c Solving c2 = -24 + -10c Solving for variable 'c'. Reorder the terms: 24 + 10c + c2 = -24 + -10c + 24 + 10c Reorder the terms: 24 + 10c + c2 = -24 + 24 + -10c + 10c Combine like terms: -24 + 24 = 0 24 + 10c + c2 = 0 + -10c + 10c 24 + 10c + c2 = -10c + 10c Combine like terms: -10c + 10c = 0 24 + 10c + c2 = 0 Factor a trinomial. (6 + c)(4 + c) = 0Subproblem 1
Set the factor '(6 + c)' equal to zero and attempt to solve: Simplifying 6 + c = 0 Solving 6 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + c = 0 + -6 c = 0 + -6 Combine like terms: 0 + -6 = -6 c = -6 Simplifying c = -6Subproblem 2
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 = -4Solution
c = {-6, -4}
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