v(3v-1)=0

Solution for v(3v-1)=0 equation:

Simplifying
v(3v + -1) = 0

Reorder the terms:
v(-1 + 3v) = 0
(-1 * v + 3v * v) = 0
(-1v + 3v2) = 0

Solving
-1v + 3v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(-1 + 3v) = 0

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 '(-1 + 3v)' equal to zero and attempt to solve:

Simplifying
-1 + 3v = 0

Solving
-1 + 3v = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3v = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3v = 0 + 1
3v = 0 + 1

Combine like terms: 0 + 1 = 1
3v = 1

Divide each side by '3'.
v = 0.3333333333

Simplifying
v = 0.3333333333
Solution
v = {0, 0.3333333333}