b^2+20b=0

Solution for b^2+20b=0 equation:

Simplifying
b2 + 20b = 0

Reorder the terms:
20b + b2 = 0

Solving
20b + b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(20 + b) = 0

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 '(20 + b)' equal to zero and attempt to solve:

Simplifying
20 + b = 0

Solving
20 + b = 0

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

Add '-20' to each side of the equation.
20 + -20 + b = 0 + -20

Combine like terms: 20 + -20 = 0
0 + b = 0 + -20
b = 0 + -20

Combine like terms: 0 + -20 = -20
b = -20

Simplifying
b = -20
Solution
b = {0, -20}