w^2+20w=0

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

Simplifying
w2 + 20w = 0

Reorder the terms:
20w + w2 = 0

Solving
20w + w2 = 0

Solving for variable 'w'.

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

Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
Subproblem 2
Set the factor '(20 + w)' equal to zero and attempt to solve:

Simplifying
20 + w = 0

Solving
20 + w = 0

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

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

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

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

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