w^2+36w=0

Solution for w^2+36w=0 equation:

Simplifying
w2 + 36w = 0

Reorder the terms:
36w + w2 = 0

Solving
36w + w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(36 + 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 '(36 + w)' equal to zero and attempt to solve:

Simplifying
36 + w = 0

Solving
36 + w = 0

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

Add '-36' to each side of the equation.
36 + -36 + w = 0 + -36

Combine like terms: 36 + -36 = 0
0 + w = 0 + -36
w = 0 + -36

Combine like terms: 0 + -36 = -36
w = -36

Simplifying
w = -36
Solution
w = {0, -36}