8w(w-6)=0

Solution for 8w(w-6)=0 equation:

Simplifying
8w(w + -6) = 0

Reorder the terms:
8w(-6 + w) = 0
(-6 * 8w + w * 8w) = 0
(-48w + 8w2) = 0

Solving
-48w + 8w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '8w'.
8w(-6 + w) = 0

Ignore the factor 8.
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}