0=w(w+6)

Solution for 0=w(w+6) equation:

Simplifying
0 = w(w + 6)

Reorder the terms:
0 = w(6 + w)
0 = (6 * w + w * w)
0 = (6w + w2)

Solving
0 = 6w + w2

Solving for variable 'w'.
Remove the zero:
-6w + -1w2 = 6w + w2 + -6w + -1w2

Reorder the terms:
-6w + -1w2 = 6w + -6w + w2 + -1w2

Combine like terms: 6w + -6w = 0
-6w + -1w2 = 0 + w2 + -1w2
-6w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-6w + -1w2 = 0

Factor out the Greatest Common Factor (GCF), '-1w'.
-1w(6 + 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 '(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}