6u^3+18u^2=0

Solution for 6u^3+18u^2=0 equation:

Simplifying
6u3 + 18u2 = 0

Reorder the terms:
18u2 + 6u3 = 0

Solving
18u2 + 6u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6u2'.
6u2(3 + u) = 0

Ignore the factor 6.
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 '(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}