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Simplifying c2 + 16c + 48 = 0 Reorder the terms: 48 + 16c + c2 = 0 Solving 48 + 16c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (12 + c)(4 + c) = 0Subproblem 1
Set the factor '(12 + c)' equal to zero and attempt to solve: Simplifying 12 + c = 0 Solving 12 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + c = 0 + -12 c = 0 + -12 Combine like terms: 0 + -12 = -12 c = -12 Simplifying c = -12Subproblem 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 = {-12, -4}
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