6u^2-2u=0

Solution for 6u^2-2u=0 equation:

Simplifying
6u2 + -2u = 0

Reorder the terms:
-2u + 6u2 = 0

Solving
-2u + 6u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2u'.
2u(-1 + 3u) = 0

Ignore the factor 2.
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 '(-1 + 3u)' equal to zero and attempt to solve:

Simplifying
-1 + 3u = 0

Solving
-1 + 3u = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3u = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3u = 0 + 1
3u = 0 + 1

Combine like terms: 0 + 1 = 1
3u = 1

Divide each side by '3'.
u = 0.3333333333

Simplifying
u = 0.3333333333
Solution
u = {0, 0.3333333333}