4u^2=12u

Solution for 4u^2=12u equation:

Simplifying
4u2 = 12u

Solving
4u2 = 12u

Solving for variable 'u'.

Reorder the terms:
-12u + 4u2 = 12u + -12u

Combine like terms: 12u + -12u = 0
-12u + 4u2 = 0

Factor out the Greatest Common Factor (GCF), '4u'.
4u(-3 + u) = 0

Ignore the factor 4.
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 '(-3 + u)' equal to zero and attempt to solve:

Simplifying
-3 + u = 0

Solving
-3 + u = 0

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

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

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

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

Simplifying
u = 3
Solution
u = {0, 3}