3.4c(5c+1)=-12.2

Solution for 3.4c(5c+1)=-12.2 equation:

Simplifying
3.4c(5c + 1) = -12.2

Reorder the terms:
3.4c(1 + 5c) = -12.2
(1 * 3.4c + 5c * 3.4c) = -12.2
(3.4c + 17c2) = -12.2

Solving
3.4c + 17c2 = -12.2

Solving for variable 'c'.

Reorder the terms:
12.2 + 3.4c + 17c2 = -12.2 + 12.2

Combine like terms: -12.2 + 12.2 = 0.0
12.2 + 3.4c + 17c2 = 0.0

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

Divide each side by '17'.
0.7176470588 + 0.2c + c2 = 0.0

Move the constant term to the right:

Add '-0.7176470588' to each side of the equation.
0.7176470588 + 0.2c + -0.7176470588 + c2 = 0.0 + -0.7176470588

Reorder the terms:
0.7176470588 + -0.7176470588 + 0.2c + c2 = 0.0 + -0.7176470588

Combine like terms: 0.7176470588 + -0.7176470588 = 0.0000000000
0.0000000000 + 0.2c + c2 = 0.0 + -0.7176470588
0.2c + c2 = 0.0 + -0.7176470588

Combine like terms: 0.0 + -0.7176470588 = -0.7176470588
0.2c + c2 = -0.7176470588

The c term is 0.2c.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2c + 0.01 + c2 = -0.7176470588 + 0.01

Reorder the terms:
0.01 + 0.2c + c2 = -0.7176470588 + 0.01

Combine like terms: -0.7176470588 + 0.01 = -0.7076470588
0.01 + 0.2c + c2 = -0.7076470588

Factor a perfect square on the left side:
(c + 0.1)(c + 0.1) = -0.7076470588

Can't calculate square root of the right side.

The solution to this equation could not be determined.