w^2=-3w

Solution for w^2=-3w equation:

Simplifying
w2 = -3w

Solving
w2 = -3w

Solving for variable 'w'.

Reorder the terms:
3w + w2 = -3w + 3w

Combine like terms: -3w + 3w = 0
3w + w2 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(3 + 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 '(3 + w)' equal to zero and attempt to solve:

Simplifying
3 + w = 0

Solving
3 + w = 0

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

Add '-3' to each side of the equation.
3 + -3 + w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + w = 0 + -3
w = 0 + -3

Combine like terms: 0 + -3 = -3
w = -3

Simplifying
w = -3
Solution
w = {0, -3}