12c^2-6c+6=0

Solution for 12c^2-6c+6=0 equation:

Simplifying
12c2 + -6c + 6 = 0

Reorder the terms:
6 + -6c + 12c2 = 0

Solving
6 + -6c + 12c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + -1c + 2c2) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(1 + -1c + 2c2)' equal to zero and attempt to solve:

Simplifying
1 + -1c + 2c2 = 0

Solving
1 + -1c + 2c2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
0.5 + -0.5c + c2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.5c + -0.5 + c2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.5c + c2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.5c + c2 = 0 + -0.5
-0.5c + c2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.5c + c2 = -0.5

The c term is -0.5c.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5c + 0.0625 + c2 = -0.5 + 0.0625

Reorder the terms:
0.0625 + -0.5c + c2 = -0.5 + 0.0625

Combine like terms: -0.5 + 0.0625 = -0.4375
0.0625 + -0.5c + c2 = -0.4375

Factor a perfect square on the left side:
(c + -0.25)(c + -0.25) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.