3(4c^2-7c+4)=1

Solution for 3(4c^2-7c+4)=1 equation:

Simplifying
3(4c2 + -7c + 4) = 1

Reorder the terms:
3(4 + -7c + 4c2) = 1
(4 * 3 + -7c * 3 + 4c2 * 3) = 1
(12 + -21c + 12c2) = 1

Solving
12 + -21c + 12c2 = 1

Solving for variable 'c'.

Reorder the terms:
12 + -1 + -21c + 12c2 = 1 + -1

Combine like terms: 12 + -1 = 11
11 + -21c + 12c2 = 1 + -1

Combine like terms: 1 + -1 = 0
11 + -21c + 12c2 = 0

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

Divide each side by '12'.
0.9166666667 + -1.75c + c2 = 0

Move the constant term to the right:

Add '-0.9166666667' to each side of the equation.
0.9166666667 + -1.75c + -0.9166666667 + c2 = 0 + -0.9166666667

Reorder the terms:
0.9166666667 + -0.9166666667 + -1.75c + c2 = 0 + -0.9166666667

Combine like terms: 0.9166666667 + -0.9166666667 = 0.0000000000
0.0000000000 + -1.75c + c2 = 0 + -0.9166666667
-1.75c + c2 = 0 + -0.9166666667

Combine like terms: 0 + -0.9166666667 = -0.9166666667
-1.75c + c2 = -0.9166666667

The c term is -1.75c.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75c + 0.765625 + c2 = -0.9166666667 + 0.765625

Reorder the terms:
0.765625 + -1.75c + c2 = -0.9166666667 + 0.765625

Combine like terms: -0.9166666667 + 0.765625 = -0.1510416667
0.765625 + -1.75c + c2 = -0.1510416667

Factor a perfect square on the left side:
(c + -0.875)(c + -0.875) = -0.1510416667

Can't calculate square root of the right side.

The solution to this equation could not be determined.