0=w^2-6w

Solution for 0=w^2-6w equation:

Simplifying
0 = w2 + -6w

Reorder the terms:
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), 'w'.
w(6 + -1w) = 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 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 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 + -1w = 0 + -6

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

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

Divide each side by '-1'.
w = 6

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