b^2=-3b-2

Solution for b^2=-3b-2 equation:

Simplifying
b2 = -3b + -2

Reorder the terms:
b2 = -2 + -3b

Solving
b2 = -2 + -3b

Solving for variable 'b'.

Reorder the terms:
2 + 3b + b2 = -2 + -3b + 2 + 3b

Reorder the terms:
2 + 3b + b2 = -2 + 2 + -3b + 3b

Combine like terms: -2 + 2 = 0
2 + 3b + b2 = 0 + -3b + 3b
2 + 3b + b2 = -3b + 3b

Combine like terms: -3b + 3b = 0
2 + 3b + b2 = 0

Factor a trinomial.
(2 + b)(1 + b) = 0

Subproblem 1
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
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 = {-2, -1}