b^2=-3b

Solution for b^2=-3b equation:

Simplifying
b2 = -3b

Solving
b2 = -3b

Solving for variable 'b'.

Reorder the terms:
3b + b2 = -3b + 3b

Combine like terms: -3b + 3b = 0
3b + b2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(3 + 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 '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

Solving
3 + b = 0

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

Add '-3' to each side of the equation.
3 + -3 + b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + b = 0 + -3
b = 0 + -3

Combine like terms: 0 + -3 = -3
b = -3

Simplifying
b = -3
Solution
b = {0, -3}