6w^2-9w=0

Solution for 6w^2-9w=0 equation:

Simplifying
6w2 + -9w = 0

Reorder the terms:
-9w + 6w2 = 0

Solving
-9w + 6w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w'.
3w(-3 + 2w) = 0

Ignore the factor 3.
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 '(-3 + 2w)' equal to zero and attempt to solve:

Simplifying
-3 + 2w = 0

Solving
-3 + 2w = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2w = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2w = 0 + 3
2w = 0 + 3

Combine like terms: 0 + 3 = 3
2w = 3

Divide each side by '2'.
w = 1.5

Simplifying
w = 1.5
Solution
w = {0, 1.5}