8v^2-2v=0

Solution for 8v^2-2v=0 equation:

Simplifying
8v2 + -2v = 0

Reorder the terms:
-2v + 8v2 = 0

Solving
-2v + 8v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v'.
2v(-1 + 4v) = 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 + 4v)' equal to zero and attempt to solve:

Simplifying
-1 + 4v = 0

Solving
-1 + 4v = 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 + 4v = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4v = 0 + 1
4v = 0 + 1

Combine like terms: 0 + 1 = 1
4v = 1

Divide each side by '4'.
v = 0.25

Simplifying
v = 0.25
Solution
v = {0, 0.25}