(7c*2c)+13=2c

Solution for (7c*2c)+13=2c equation:

Simplifying
(7c * 2c) + 13 = 2c

Reorder the terms for easier multiplication:
(7 * 2c * c) + 13 = 2c

Multiply 7 * 2
(14c * c) + 13 = 2c

Multiply c * c
(14c2) + 13 = 2c

Reorder the terms:
13 + (14c2) = 2c

Solving
13 + (14c2) = 2c

Solving for variable 'c'.

Reorder the terms:
13 + -2c + (14c2) = 2c + -2c

Combine like terms: 2c + -2c = 0
13 + -2c + (14c2) = 0

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

Divide each side by '14'.
0.9285714286 + -0.1428571429c + c2 = 0

Move the constant term to the right:

Add '-0.9285714286' to each side of the equation.
0.9285714286 + -0.1428571429c + -0.9285714286 + c2 = 0 + -0.9285714286

Reorder the terms:
0.9285714286 + -0.9285714286 + -0.1428571429c + c2 = 0 + -0.9285714286

Combine like terms: 0.9285714286 + -0.9285714286 = 0.0000000000
0.0000000000 + -0.1428571429c + c2 = 0 + -0.9285714286
-0.1428571429c + c2 = 0 + -0.9285714286

Combine like terms: 0 + -0.9285714286 = -0.9285714286
-0.1428571429c + c2 = -0.9285714286

The c term is -0.1428571429c.  Take half its coefficient (-0.07142857145).
Square it (0.005102040819) and add it to both sides.

Add '0.005102040819' to each side of the equation.
-0.1428571429c + 0.005102040819 + c2 = -0.9285714286 + 0.005102040819

Reorder the terms:
0.005102040819 + -0.1428571429c + c2 = -0.9285714286 + 0.005102040819

Combine like terms: -0.9285714286 + 0.005102040819 = -0.923469387781
0.005102040819 + -0.1428571429c + c2 = -0.923469387781

Factor a perfect square on the left side:
((c) + -0.07142857145)((c) + -0.07142857145) = -0.923469387781

Can't calculate square root of the right side.

The solution to this equation could not be determined.