w^2=-6w

Solution for w^2=-6w equation:

Simplifying
w2 = -6w

Solving
w2 = -6w

Solving for variable 'w'.

Reorder the terms:
6w + w2 = -6w + 6w

Combine like terms: -6w + 6w = 0
6w + w2 = 0

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

Simplifying
6 + w = 0

Solving
6 + w = 0

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

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

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

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

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