5v^2-v=0

Solution for 5v^2-v=0 equation:

Simplifying
5v2 + -1v = 0

Reorder the terms:
-1v + 5v2 = 0

Solving
-1v + 5v2 = 0

Solving for variable 'v'.

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

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 + 5v)' equal to zero and attempt to solve:

Simplifying
-1 + 5v = 0

Solving
-1 + 5v = 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 + 5v = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5v = 0 + 1
5v = 0 + 1

Combine like terms: 0 + 1 = 1
5v = 1

Divide each side by '5'.
v = 0.2

Simplifying
v = 0.2
Solution
v = {0, 0.2}