b=3b+2b^2

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

Simplifying
b = 3b + 2b2

Solving
b = 3b + 2b2

Solving for variable 'b'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-2b'.
-2b(1 + b) = 0

Ignore the factor -2.
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}