5b(3b+9)=0

Solution for 5b(3b+9)=0 equation:

Simplifying
5b(3b + 9) = 0

Reorder the terms:
5b(9 + 3b) = 0
(9 * 5b + 3b * 5b) = 0
(45b + 15b2) = 0

Solving
45b + 15b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '15b'.
15b(3 + b) = 0

Ignore the factor 15.
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}