0=b(b+3)

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

Simplifying
0 = b(b + 3)

Reorder the terms:
0 = b(3 + b)
0 = (3 * b + b * b)
0 = (3b + b2)

Solving
0 = 3b + b2

Solving for variable 'b'.
Remove the zero:
-3b + -1b2 = 3b + b2 + -3b + -1b2

Reorder the terms:
-3b + -1b2 = 3b + -3b + b2 + -1b2

Combine like terms: 3b + -3b = 0
-3b + -1b2 = 0 + b2 + -1b2
-3b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-3b + -1b2 = 0

Factor out the Greatest Common Factor (GCF), '-1b'.
-1b(3 + b) = 0

Ignore the factor -1.
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}