(w-8)(2w)=0

Solution for (w-8)(2w)=0 equation:

Simplifying
(w + -8)(2w) = 0

Reorder the terms:
(-8 + w)(2w) = 0

Remove parenthesis around (2w)
(-8 + w) * 2w = 0

Reorder the terms for easier multiplication:
2w(-8 + w) = 0
(-8 * 2w + w * 2w) = 0
(-16w + 2w2) = 0

Solving
-16w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w'.
2w(-8 + w) = 0

Ignore the factor 2.
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 '(-8 + w)' equal to zero and attempt to solve:

Simplifying
-8 + w = 0

Solving
-8 + w = 0

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

Add '8' to each side of the equation.
-8 + 8 + w = 0 + 8

Combine like terms: -8 + 8 = 0
0 + w = 0 + 8
w = 0 + 8

Combine like terms: 0 + 8 = 8
w = 8

Simplifying
w = 8
Solution
w = {0, 8}