6v^3-18v=0

Solution for 6v^3-18v=0 equation:

Simplifying
6v3 + -18v = 0

Reorder the terms:
-18v + 6v3 = 0

Solving
-18v + 6v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '6v'.
6v(-3 + v2) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0
Subproblem 2
Set the factor '(-3 + v2)' equal to zero and attempt to solve:

Simplifying
-3 + v2 = 0

Solving
-3 + v2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + v2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + v2 = 0 + 3
v2 = 0 + 3

Combine like terms: 0 + 3 = 3
v2 = 3

Simplifying
v2 = 3

Take the square root of each side:
v = {-1.732050808, 1.732050808}
Solution
v = {0, -1.732050808, 1.732050808}