0=2(b^2)+8b+13

Solution for 0=2(b^2)+8b+13 equation:

Simplifying
0 = 2(b2) + 8b + 13

Reorder the terms:
0 = 13 + 8b + 2b2

Solving
0 = 13 + 8b + 2b2

Solving for variable 'b'.

Combine like terms: 0 + -13 = -13
-13 + -8b + -2b2 = 13 + 8b + 2b2 + -13 + -8b + -2b2

Reorder the terms:
-13 + -8b + -2b2 = 13 + -13 + 8b + -8b + 2b2 + -2b2

Combine like terms: 13 + -13 = 0
-13 + -8b + -2b2 = 0 + 8b + -8b + 2b2 + -2b2
-13 + -8b + -2b2 = 8b + -8b + 2b2 + -2b2

Combine like terms: 8b + -8b = 0
-13 + -8b + -2b2 = 0 + 2b2 + -2b2
-13 + -8b + -2b2 = 2b2 + -2b2

Combine like terms: 2b2 + -2b2 = 0
-13 + -8b + -2b2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(13 + 8b + 2b2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(13 + 8b + 2b2)' equal to zero and attempt to solve:

Simplifying
13 + 8b + 2b2 = 0

Solving
13 + 8b + 2b2 = 0

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

Divide each side by '2'.
6.5 + 4b + b2 = 0

Move the constant term to the right:

Add '-6.5' to each side of the equation.
6.5 + 4b + -6.5 + b2 = 0 + -6.5

Reorder the terms:
6.5 + -6.5 + 4b + b2 = 0 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 4b + b2 = 0 + -6.5
4b + b2 = 0 + -6.5

Combine like terms: 0 + -6.5 = -6.5
4b + b2 = -6.5

The b term is 4b.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4b + 4 + b2 = -6.5 + 4

Reorder the terms:
4 + 4b + b2 = -6.5 + 4

Combine like terms: -6.5 + 4 = -2.5
4 + 4b + b2 = -2.5

Factor a perfect square on the left side:
(b + 2)(b + 2) = -2.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.