-4v(v-3)(v-1)=0

Solution for -4v(v-3)(v-1)=0 equation:

Simplifying
-4v(v + -3)(v + -1) = 0

Reorder the terms:
-4v(-3 + v)(v + -1) = 0

Reorder the terms:
-4v(-3 + v)(-1 + v) = 0

Multiply (-3 + v) * (-1 + v)
-4v(-3(-1 + v) + v(-1 + v)) = 0
-4v((-1 * -3 + v * -3) + v(-1 + v)) = 0
-4v((3 + -3v) + v(-1 + v)) = 0
-4v(3 + -3v + (-1 * v + v * v)) = 0
-4v(3 + -3v + (-1v + v2)) = 0

Combine like terms: -3v + -1v = -4v
-4v(3 + -4v + v2) = 0
(3 * -4v + -4v * -4v + v2 * -4v) = 0
(-12v + 16v2 + -4v3) = 0

Solving
-12v + 16v2 + -4v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4v'.
4v(-3 + 4v + -1v2) = 0

Factor a trinomial.
4v((-3 + v)(1 + -1v)) = 0

Ignore the factor 4.
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 + v)' equal to zero and attempt to solve:

Simplifying
-3 + v = 0

Solving
-3 + v = 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 + v = 0 + 3

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

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

Simplifying
v = 3
Subproblem 3
Set the factor '(1 + -1v)' equal to zero and attempt to solve:

Simplifying
1 + -1v = 0

Solving
1 + -1v = 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 + -1v = 0 + -1

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

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

Divide each side by '-1'.
v = 1

Simplifying
v = 1
Solution
v = {0, 3, 1}