0=3b^2+9b

Solution for 0=3b^2+9b equation:

Simplifying
0 = 3b2 + 9b

Reorder the terms:
0 = 9b + 3b2

Solving
0 = 9b + 3b2

Solving for variable 'b'.
Remove the zero:
-9b + -3b2 = 9b + 3b2 + -9b + -3b2

Reorder the terms:
-9b + -3b2 = 9b + -9b + 3b2 + -3b2

Combine like terms: 9b + -9b = 0
-9b + -3b2 = 0 + 3b2 + -3b2
-9b + -3b2 = 3b2 + -3b2

Combine like terms: 3b2 + -3b2 = 0
-9b + -3b2 = 0

Factor out the Greatest Common Factor (GCF), '-3b'.
-3b(3 + b) = 0

Ignore the factor -3.
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}