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Simplifying c2 + 28c + 196 = 0 Reorder the terms: 196 + 28c + c2 = 0 Solving 196 + 28c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (14 + c)(14 + c) = 0Subproblem 1
Set the factor '(14 + c)' equal to zero and attempt to solve: Simplifying 14 + c = 0 Solving 14 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + c = 0 + -14 Combine like terms: 14 + -14 = 0 0 + c = 0 + -14 c = 0 + -14 Combine like terms: 0 + -14 = -14 c = -14 Simplifying c = -14Subproblem 2
Set the factor '(14 + c)' equal to zero and attempt to solve: Simplifying 14 + c = 0 Solving 14 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + c = 0 + -14 Combine like terms: 14 + -14 = 0 0 + c = 0 + -14 c = 0 + -14 Combine like terms: 0 + -14 = -14 c = -14 Simplifying c = -14Solution
c = {-14, -14}
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