b^2=-2b

Solution for b^2=-2b equation:

Simplifying
b2 = -2b

Solving
b2 = -2b

Solving for variable 'b'.

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

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

Factor out the Greatest Common Factor (GCF), 'b'.
b(2 + b) = 0

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 '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 0

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

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

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

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

Simplifying
b = -2
Solution
b = {0, -2}