c^2=12-4c

Solution for c^2=12-4c equation:

Simplifying
c2 = 12 + -4c

Solving
c2 = 12 + -4c

Solving for variable 'c'.

Reorder the terms:
-12 + 4c + c2 = 12 + -4c + -12 + 4c

Reorder the terms:
-12 + 4c + c2 = 12 + -12 + -4c + 4c

Combine like terms: 12 + -12 = 0
-12 + 4c + c2 = 0 + -4c + 4c
-12 + 4c + c2 = -4c + 4c

Combine like terms: -4c + 4c = 0
-12 + 4c + c2 = 0

Factor a trinomial.
(-6 + -1c)(2 + -1c) = 0

Subproblem 1
Set the factor '(-6 + -1c)' equal to zero and attempt to solve:

Simplifying
-6 + -1c = 0

Solving
-6 + -1c = 0

Move all terms containing c to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -1c = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1c = 0 + 6
-1c = 0 + 6

Combine like terms: 0 + 6 = 6
-1c = 6

Divide each side by '-1'.
c = -6

Simplifying
c = -6
Subproblem 2
Set the factor '(2 + -1c)' equal to zero and attempt to solve:

Simplifying
2 + -1c = 0

Solving
2 + -1c = 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 + -1c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1c = 0 + -2
-1c = 0 + -2

Combine like terms: 0 + -2 = -2
-1c = -2

Divide each side by '-1'.
c = 2

Simplifying
c = 2
Solution
c = {-6, 2}