(7c)(7c)+8c+1=0

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Solution for (7c)(7c)+8c+1=0 equation: 


Simplifying
(7c)(7c) + 8c + 1 = 0

Remove parenthesis around (7c)
7c(7c) + 8c + 1 = 0

Remove parenthesis around (7c)
7c * 7c + 8c + 1 = 0

Reorder the terms for easier multiplication:
7 * 7c * c + 8c + 1 = 0

Multiply 7 * 7
49c * c + 8c + 1 = 0

Multiply c * c
49c2 + 8c + 1 = 0

Reorder the terms:
1 + 8c + 49c2 = 0

Solving
1 + 8c + 49c2 = 0

Solving for variable 'c'.

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

Divide each side by '49'.
0.02040816327 + 0.1632653061c + c2 = 0

Move the constant term to the right:

Add '-0.02040816327' to each side of the equation.
0.02040816327 + 0.1632653061c + -0.02040816327 + c2 = 0 + -0.02040816327

Reorder the terms:
0.02040816327 + -0.02040816327 + 0.1632653061c + c2 = 0 + -0.02040816327

Combine like terms: 0.02040816327 + -0.02040816327 = 0.00000000000
0.00000000000 + 0.1632653061c + c2 = 0 + -0.02040816327
0.1632653061c + c2 = 0 + -0.02040816327

Combine like terms: 0 + -0.02040816327 = -0.02040816327
0.1632653061c + c2 = -0.02040816327

The c term is 0.1632653061c.  Take half its coefficient (0.08163265305).
Square it (0.006663890044) and add it to both sides.

Add '0.006663890044' to each side of the equation.
0.1632653061c + 0.006663890044 + c2 = -0.02040816327 + 0.006663890044

Reorder the terms:
0.006663890044 + 0.1632653061c + c2 = -0.02040816327 + 0.006663890044

Combine like terms: -0.02040816327 + 0.006663890044 = -0.013744273226
0.006663890044 + 0.1632653061c + c2 = -0.013744273226

Factor a perfect square on the left side:
(c + 0.08163265305)(c + 0.08163265305) = -0.013744273226

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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