0=b(b+6)

Solution for 0=b(b+6) equation:

Simplifying
0 = b(b + 6)

Reorder the terms:
0 = b(6 + b)
0 = (6 * b + b * b)
0 = (6b + b2)

Solving
0 = 6b + b2

Solving for variable 'b'.
Remove the zero:
-6b + -1b2 = 6b + b2 + -6b + -1b2

Reorder the terms:
-6b + -1b2 = 6b + -6b + b2 + -1b2

Combine like terms: 6b + -6b = 0
-6b + -1b2 = 0 + b2 + -1b2
-6b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-6b + -1b2 = 0

Factor out the Greatest Common Factor (GCF), '-1b'.
-1b(6 + 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 '(6 + b)' equal to zero and attempt to solve:

Simplifying
6 + b = 0

Solving
6 + b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + b = 0 + -6
b = 0 + -6

Combine like terms: 0 + -6 = -6
b = -6

Simplifying
b = -6
Solution
b = {0, -6}