0=(3w^2)-2w

Solution for 0=(3w^2)-2w equation:

Simplifying
0 = (3w2) + -2w

Reorder the terms:
0 = -2w + (3w2)

Solving
0 = -2w + (3w2)

Solving for variable 'w'.
Remove the zero:
2w + (-3w2) = -2w + (3w2) + 2w + (-3w2)

Reorder the terms:
2w + (-3w2) = -2w + 2w + (3w2) + (-3w2)

Combine like terms: -2w + 2w = 0
2w + (-3w2) = 0 + (3w2) + (-3w2)
2w + (-3w2) = (3w2) + (-3w2)

Combine like terms: (3w2) + (-3w2) = 0
2w + (-3w2) = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(2 + (-3w)) = 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 '(2 + (-3w))' equal to zero and attempt to solve:

Simplifying
2 + (-3w) = 0

Solving
2 + (-3w) = 0

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

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

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

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

Divide each side by '-3'.
w = 0.6666666667

Simplifying
w = 0.6666666667
Solution
w = {0, 0.6666666667}