5v^2=15v

Solution for 5v^2=15v equation:

Simplifying
5v2 = 15v

Solving
5v2 = 15v

Solving for variable 'v'.

Reorder the terms:
-15v + 5v2 = 15v + -15v

Combine like terms: 15v + -15v = 0
-15v + 5v2 = 0

Factor out the Greatest Common Factor (GCF), '5v'.
5v(-3 + v) = 0

Ignore the factor 5.
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 '(-3 + v)' equal to zero and attempt to solve:

Simplifying
-3 + v = 0

Solving
-3 + v = 0

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

Add '3' to each side of the equation.
-3 + 3 + v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + v = 0 + 3
v = 0 + 3

Combine like terms: 0 + 3 = 3
v = 3

Simplifying
v = 3
Solution
v = {0, 3}