12u^2=6u

Solution for 12u^2=6u equation:

Simplifying
12u2 = 6u

Solving
12u2 = 6u

Solving for variable 'u'.

Reorder the terms:
-6u + 12u2 = 6u + -6u

Combine like terms: 6u + -6u = 0
-6u + 12u2 = 0

Factor out the Greatest Common Factor (GCF), '6u'.
6u(-1 + 2u) = 0

Ignore the factor 6.
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 + 2u)' equal to zero and attempt to solve:

Simplifying
-1 + 2u = 0

Solving
-1 + 2u = 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 + 2u = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2u = 0 + 1
2u = 0 + 1

Combine like terms: 0 + 1 = 1
2u = 1

Divide each side by '2'.
u = 0.5

Simplifying
u = 0.5
Solution
u = {0, 0.5}