(7c*2c)+13=21c

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Solution for (7c*2c)+13=21c equation:


Simplifying
(7c * 2c) + 13 = 21c

Reorder the terms for easier multiplication:
(7 * 2c * c) + 13 = 21c

Multiply 7 * 2
(14c * c) + 13 = 21c

Multiply c * c
(14c2) + 13 = 21c

Reorder the terms:
13 + (14c2) = 21c

Solving
13 + (14c2) = 21c

Solving for variable 'c'.

Reorder the terms:
13 + -21c + (14c2) = 21c + -21c

Combine like terms: 21c + -21c = 0
13 + -21c + (14c2) = 0

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

Divide each side by '14'.
0.9285714286 + -1.5c + c2 = 0

Move the constant term to the right:

Add '-0.9285714286' to each side of the equation.
0.9285714286 + -1.5c + -0.9285714286 + c2 = 0 + -0.9285714286

Reorder the terms:
0.9285714286 + -0.9285714286 + -1.5c + c2 = 0 + -0.9285714286

Combine like terms: 0.9285714286 + -0.9285714286 = 0.0000000000
0.0000000000 + -1.5c + c2 = 0 + -0.9285714286
-1.5c + c2 = 0 + -0.9285714286

Combine like terms: 0 + -0.9285714286 = -0.9285714286
-1.5c + c2 = -0.9285714286

The c term is -1.5c.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5c + 0.5625 + c2 = -0.9285714286 + 0.5625

Reorder the terms:
0.5625 + -1.5c + c2 = -0.9285714286 + 0.5625

Combine like terms: -0.9285714286 + 0.5625 = -0.3660714286
0.5625 + -1.5c + c2 = -0.3660714286

Factor a perfect square on the left side:
((c) + -0.75)((c) + -0.75) = -0.3660714286

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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