2v^2=2v

Solution for 2v^2=2v equation:

Simplifying
2v2 = 2v

Solving
2v2 = 2v

Solving for variable 'v'.

Reorder the terms:
-2v + 2v2 = 2v + -2v

Combine like terms: 2v + -2v = 0
-2v + 2v2 = 0

Factor out the Greatest Common Factor (GCF), '2v'.
2v(-1 + v) = 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 '(-1 + v)' equal to zero and attempt to solve:

Simplifying
-1 + v = 0

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

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

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

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