6u^2-18u=0

Solution for 6u^2-18u=0 equation:

Simplifying
6u2 + -18u = 0

Reorder the terms:
-18u + 6u2 = 0

Solving
-18u + 6u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6u'.
6u(-3 + 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 '(-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}