v^2=14v

Solution for v^2=14v equation:

Simplifying
v2 = 14v

Solving
v2 = 14v

Solving for variable 'v'.

Reorder the terms:
-14v + v2 = 14v + -14v

Combine like terms: 14v + -14v = 0
-14v + v2 = 0

Factor out the Greatest Common Factor (GCF), 'v'.
v(-14 + v) = 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 '(-14 + v)' equal to zero and attempt to solve:

Simplifying
-14 + v = 0

Solving
-14 + v = 0

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

Add '14' to each side of the equation.
-14 + 14 + v = 0 + 14

Combine like terms: -14 + 14 = 0
0 + v = 0 + 14
v = 0 + 14

Combine like terms: 0 + 14 = 14
v = 14

Simplifying
v = 14
Solution
v = {0, 14}