3u^2-2u=0

Solution for 3u^2-2u=0 equation:

Simplifying
3u2 + -2u = 0

Reorder the terms:
-2u + 3u2 = 0

Solving
-2u + 3u2 = 0

Solving for variable 'u'.

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

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

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0
Subproblem 2
Set the factor '(-2 + 3u)' equal to zero and attempt to solve:

Simplifying
-2 + 3u = 0

Solving
-2 + 3u = 0

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

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

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

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

Divide each side by '3'.
u = 0.6666666667

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