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Simplifying c2 + 19c + 74 = c + -7 Reorder the terms: 74 + 19c + c2 = c + -7 Reorder the terms: 74 + 19c + c2 = -7 + c Solving 74 + 19c + c2 = -7 + c Solving for variable 'c'. Reorder the terms: 74 + 7 + 19c + -1c + c2 = -7 + c + 7 + -1c Combine like terms: 74 + 7 = 81 81 + 19c + -1c + c2 = -7 + c + 7 + -1c Combine like terms: 19c + -1c = 18c 81 + 18c + c2 = -7 + c + 7 + -1c Reorder the terms: 81 + 18c + c2 = -7 + 7 + c + -1c Combine like terms: -7 + 7 = 0 81 + 18c + c2 = 0 + c + -1c 81 + 18c + c2 = c + -1c Combine like terms: c + -1c = 0 81 + 18c + c2 = 0 Factor a trinomial. (9 + c)(9 + 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 '(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 = -9Solution
c = {-9, -9}
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