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

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


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

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

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

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

Combine like terms: -1v + -2v = -3v
-2v(2 + -3v + v2) = 0
(2 * -2v + -3v * -2v + v2 * -2v) = 0
(-4v + 6v2 + -2v3) = 0

Solving
-4v + 6v2 + -2v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v'.
2v(-2 + 3v + -1v2) = 0

Factor a trinomial.
2v((-2 + 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 '(-2 + v)' equal to zero and attempt to solve:

Simplifying
-2 + v = 0

Solving
-2 + v = 0

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

Add '2' to each side of the equation.
-2 + 2 + v = 0 + 2

Combine like terms: -2 + 2 = 0
0 + v = 0 + 2
v = 0 + 2

Combine like terms: 0 + 2 = 2
v = 2

Simplifying
v = 2

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, 2, 1}

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