4b^2+5=-8b

Solution for 4b^2+5=-8b equation:

Simplifying
4b2 + 5 = -8b

Reorder the terms:
5 + 4b2 = -8b

Solving
5 + 4b2 = -8b

Solving for variable 'b'.

Reorder the terms:
5 + 8b + 4b2 = -8b + 8b

Combine like terms: -8b + 8b = 0
5 + 8b + 4b2 = 0

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

Divide each side by '4'.
1.25 + 2b + b2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + 2b + -1.25 + b2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + 2b + b2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 2b + b2 = 0 + -1.25
2b + b2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
2b + b2 = -1.25

The b term is 2b.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2b + 1 + b2 = -1.25 + 1

Reorder the terms:
1 + 2b + b2 = -1.25 + 1

Combine like terms: -1.25 + 1 = -0.25
1 + 2b + b2 = -0.25

Factor a perfect square on the left side:
(b + 1)(b + 1) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.