0=12w-w^2

Solution for 0=12w-w^2 equation:

Simplifying
0 = 12w + -1w2

Solving
0 = 12w + -1w2

Solving for variable 'w'.
Remove the zero:
-12w + w2 = 12w + -1w2 + -12w + w2

Reorder the terms:
-12w + w2 = 12w + -12w + -1w2 + w2

Combine like terms: 12w + -12w = 0
-12w + w2 = 0 + -1w2 + w2
-12w + w2 = -1w2 + w2

Combine like terms: -1w2 + w2 = 0
-12w + w2 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(-12 + 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 '(-12 + w)' equal to zero and attempt to solve:

Simplifying
-12 + w = 0

Solving
-12 + w = 0

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

Add '12' to each side of the equation.
-12 + 12 + w = 0 + 12

Combine like terms: -12 + 12 = 0
0 + w = 0 + 12
w = 0 + 12

Combine like terms: 0 + 12 = 12
w = 12

Simplifying
w = 12
Solution
w = {0, 12}