0=b(b+2)

Solution for 0=b(b+2) equation:

Simplifying
0 = b(b + 2)

Reorder the terms:
0 = b(2 + b)
0 = (2 * b + b * b)
0 = (2b + b2)

Solving
0 = 2b + b2

Solving for variable 'b'.
Remove the zero:
-2b + -1b2 = 2b + b2 + -2b + -1b2

Reorder the terms:
-2b + -1b2 = 2b + -2b + b2 + -1b2

Combine like terms: 2b + -2b = 0
-2b + -1b2 = 0 + b2 + -1b2
-2b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-2b + -1b2 = 0

Factor out the Greatest Common Factor (GCF), '-1b'.
-1b(2 + 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 '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 0

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

Add '-2' to each side of the equation.
2 + -2 + b = 0 + -2

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

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

Simplifying
b = -2
Solution
b = {0, -2}