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