5b^2+6b=-8

Solution for 5b^2+6b=-8 equation:

Simplifying
5b2 + 6b = -8

Reorder the terms:
6b + 5b2 = -8

Solving
6b + 5b2 = -8

Solving for variable 'b'.

Reorder the terms:
8 + 6b + 5b2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 6b + 5b2 = 0

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

Divide each side by '5'.
1.6 + 1.2b + b2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + 1.2b + -1.6 + b2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + 1.2b + b2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 1.2b + b2 = 0 + -1.6
1.2b + b2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
1.2b + b2 = -1.6

The b term is 1.2b.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2b + 0.36 + b2 = -1.6 + 0.36

Reorder the terms:
0.36 + 1.2b + b2 = -1.6 + 0.36

Combine like terms: -1.6 + 0.36 = -1.24
0.36 + 1.2b + b2 = -1.24

Factor a perfect square on the left side:
(b + 0.6)(b + 0.6) = -1.24

Can't calculate square root of the right side.

The solution to this equation could not be determined.