w(w-6)x^2=0

Solution for w(w-6)x^2=0 equation:

Simplifying
w(w + -6) * x2 = 0

Reorder the terms:
w(-6 + w) * x2 = 0

Reorder the terms for easier multiplication:
w * x2(-6 + w) = 0

Multiply w * x2
wx2(-6 + w) = 0
(-6 * wx2 + w * wx2) = 0
(-6wx2 + w2x2) = 0

Solving
-6wx2 + w2x2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'wx2'.
wx2(-6 + w) = 0

Subproblem 1
Set the factor 'wx2' equal to zero and attempt to solve:

Simplifying
wx2 = 0

Solving
wx2 = 0

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

Simplifying
wx2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
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 = {6}