2v^2=8v

Solution for 2v^2=8v equation:

Simplifying
2v2 = 8v

Solving
2v2 = 8v

Solving for variable 'v'.

Reorder the terms:
-8v + 2v2 = 8v + -8v

Combine like terms: 8v + -8v = 0
-8v + 2v2 = 0

Factor out the Greatest Common Factor (GCF), '2v'.
2v(-4 + 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 '(-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
Solution
v = {0, 4}