10b^2+11b=-4

Solution for 10b^2+11b=-4 equation:

Simplifying
10b2 + 11b = -4

Reorder the terms:
11b + 10b2 = -4

Solving
11b + 10b2 = -4

Solving for variable 'b'.

Reorder the terms:
4 + 11b + 10b2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 11b + 10b2 = 0

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

Divide each side by '10'.
0.4 + 1.1b + b2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + 1.1b + -0.4 + b2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + 1.1b + b2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 1.1b + b2 = 0 + -0.4
1.1b + b2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
1.1b + b2 = -0.4

The b term is 1.1b.  Take half its coefficient (0.55).
Square it (0.3025) and add it to both sides.

Add '0.3025' to each side of the equation.
1.1b + 0.3025 + b2 = -0.4 + 0.3025

Reorder the terms:
0.3025 + 1.1b + b2 = -0.4 + 0.3025

Combine like terms: -0.4 + 0.3025 = -0.0975
0.3025 + 1.1b + b2 = -0.0975

Factor a perfect square on the left side:
(b + 0.55)(b + 0.55) = -0.0975

Can't calculate square root of the right side.

The solution to this equation could not be determined.