6u(6-3u)=

Solution for 6u(6-3u)= equation:

Simplifying
6u(6 + -3u) = 0
(6 * 6u + -3u * 6u) = 0
(36u + -18u2) = 0

Solving
36u + -18u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '18u'.
18u(2 + -1u) = 0

Ignore the factor 18.
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 + -1u)' equal to zero and attempt to solve:

Simplifying
2 + -1u = 0

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

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

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

Divide each side by '-1'.
u = 2

Simplifying
u = 2
Solution
u = {0, 2}