0=w(3+w)

Solution for 0=w(3+w) equation:

Simplifying
0 = w(3 + w)
0 = (3 * w + w * w)
0 = (3w + w2)

Solving
0 = 3w + w2

Solving for variable 'w'.
Remove the zero:
-3w + -1w2 = 3w + w2 + -3w + -1w2

Reorder the terms:
-3w + -1w2 = 3w + -3w + w2 + -1w2

Combine like terms: 3w + -3w = 0
-3w + -1w2 = 0 + w2 + -1w2
-3w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-3w + -1w2 = 0

Factor out the Greatest Common Factor (GCF), '-1w'.
-1w(3 + w) = 0

Ignore the factor -1.
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}