b^2=-4b

Solution for b^2=-4b equation:

Simplifying
b2 = -4b

Solving
b2 = -4b

Solving for variable 'b'.

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

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

Factor out the Greatest Common Factor (GCF), 'b'.
b(4 + 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 '(4 + b)' equal to zero and attempt to solve:

Simplifying
4 + b = 0

Solving
4 + b = 0

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

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

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

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

Simplifying
b = -4
Solution
b = {0, -4}