7b^2-b+6-3b^2+5+2b^2+7b=0

Solution for 7b^2-b+6-3b^2+5+2b^2+7b=0 equation:

Simplifying
7b2 + -1b + 6 + -3b2 + 5 + 2b2 + 7b = 0

Reorder the terms:
6 + 5 + -1b + 7b + 7b2 + -3b2 + 2b2 = 0

Combine like terms: 6 + 5 = 11
11 + -1b + 7b + 7b2 + -3b2 + 2b2 = 0

Combine like terms: -1b + 7b = 6b
11 + 6b + 7b2 + -3b2 + 2b2 = 0

Combine like terms: 7b2 + -3b2 = 4b2
11 + 6b + 4b2 + 2b2 = 0

Combine like terms: 4b2 + 2b2 = 6b2
11 + 6b + 6b2 = 0

Solving
11 + 6b + 6b2 = 0

Solving for variable 'b'.

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

Divide each side by '6'.
1.833333333 + b + b2 = 0

Move the constant term to the right:

Add '-1.833333333' to each side of the equation.
1.833333333 + b + -1.833333333 + b2 = 0 + -1.833333333

Reorder the terms:
1.833333333 + -1.833333333 + b + b2 = 0 + -1.833333333

Combine like terms: 1.833333333 + -1.833333333 = 0.000000000
0.000000000 + b + b2 = 0 + -1.833333333
b + b2 = 0 + -1.833333333

Combine like terms: 0 + -1.833333333 = -1.833333333
b + b2 = -1.833333333

The b term is b.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + b2 = -1.833333333 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + b2 = -1.833333333 + 0.25

Combine like terms: -1.833333333 + 0.25 = -1.583333333
1.25 + b2 = -1.583333333

Factor a perfect square on the left side:
(b + 0.5)(b + 0.5) = -1.583333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.