-2v(v-1)(v-4)=0

Solution for -2v(v-1)(v-4)=0 equation:

Simplifying
-2v(v + -1)(v + -4) = 0

Reorder the terms:
-2v(-1 + v)(v + -4) = 0

Reorder the terms:
-2v(-1 + v)(-4 + v) = 0

Multiply (-1 + v) * (-4 + v)
-2v(-1(-4 + v) + v(-4 + v)) = 0
-2v((-4 * -1 + v * -1) + v(-4 + v)) = 0
-2v((4 + -1v) + v(-4 + v)) = 0
-2v(4 + -1v + (-4 * v + v * v)) = 0
-2v(4 + -1v + (-4v + v2)) = 0

Combine like terms: -1v + -4v = -5v
-2v(4 + -5v + v2) = 0
(4 * -2v + -5v * -2v + v2 * -2v) = 0
(-8v + 10v2 + -2v3) = 0

Solving
-8v + 10v2 + -2v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v'.
2v(-4 + 5v + -1v2) = 0

Factor a trinomial.
2v((-4 + v)(1 + -1v)) = 0

Ignore the factor 2.
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 '(-4 + v)' equal to zero and attempt to solve:

Simplifying
-4 + v = 0

Solving
-4 + v = 0

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

Add '4' to each side of the equation.
-4 + 4 + v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + v = 0 + 4
v = 0 + 4

Combine like terms: 0 + 4 = 4
v = 4

Simplifying
v = 4
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, 4, 1}