3c^2+12c+12=0

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Solution for 3c^2+12c+12=0 equation:


Simplifying
3c2 + 12c + 12 = 0

Reorder the terms:
12 + 12c + 3c2 = 0

Solving
12 + 12c + 3c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + 4c + c2) = 0

Factor a trinomial.
3((2 + c)(2 + c)) = 0

Ignore the factor 3.

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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