C^2+4C=-4

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Solution for C^2+4C=-4 equation:


Simplifying
C2 + 4C = -4

Reorder the terms:
4C + C2 = -4

Solving
4C + C2 = -4

Solving for variable 'C'.

Reorder the terms:
4 + 4C + C2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 4C + C2 = 0

Factor a trinomial.
(2 + C)(2 + C) = 0

Subproblem 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 = -2

Subproblem 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 = -2

Solution

C = {-2, -2}

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