6u(u-4)=0

Solution for 6u(u-4)=0 equation:

Simplifying
6u(u + -4) = 0

Reorder the terms:
6u(-4 + u) = 0
(-4 * 6u + u * 6u) = 0
(-24u + 6u2) = 0

Solving
-24u + 6u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6u'.
6u(-4 + u) = 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 '(-4 + u)' equal to zero and attempt to solve:

Simplifying
-4 + u = 0

Solving
-4 + u = 0

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

Add '4' to each side of the equation.
-4 + 4 + u = 0 + 4

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

Combine like terms: 0 + 4 = 4
u = 4

Simplifying
u = 4
Solution
u = {0, 4}