0=b^2+b

Solution for 0=b^2+b equation:

Simplifying
0 = b2 + b

Reorder the terms:
0 = b + b2

Solving
0 = b + b2

Solving for variable 'b'.
Remove the zero:
-1b + -1b2 = b + b2 + -1b + -1b2

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

Combine like terms: b + -1b = 0
-1b + -1b2 = 0 + b2 + -1b2
-1b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-1b + -1b2 = 0

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

Ignore the factor -1.
Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

Move all terms containing b to the left, all other terms to the right.

Simplifying
b = 0
Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

Solving
1 + b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + b = 0 + -1
b = 0 + -1

Combine like terms: 0 + -1 = -1
b = -1

Simplifying
b = -1
Solution
b = {0, -1}