3u^3-6u^2=

Solution for 3u^3-6u^2= equation:

Simplifying
3u3 + -6u2 = 0

Reorder the terms:
-6u2 + 3u3 = 0

Solving
-6u2 + 3u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3u2'.
3u2(-2 + u) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'u2' equal to zero and attempt to solve:

Simplifying
u2 = 0

Solving
u2 = 0

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

Simplifying
u2 = 0

Take the square root of each side:
u = {0}
Subproblem 2
Set the factor '(-2 + u)' equal to zero and attempt to solve:

Simplifying
-2 + u = 0

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

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

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

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