v^2-11v+36=v

Solution for v^2-11v+36=v equation:

Simplifying
v2 + -11v + 36 = v

Reorder the terms:
36 + -11v + v2 = v

Solving
36 + -11v + v2 = v

Solving for variable 'v'.

Reorder the terms:
36 + -11v + -1v + v2 = v + -1v

Combine like terms: -11v + -1v = -12v
36 + -12v + v2 = v + -1v

Combine like terms: v + -1v = 0
36 + -12v + v2 = 0

Factor a trinomial.
(6 + -1v)(6 + -1v) = 0

Subproblem 1
Set the factor '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v = 0 + -6
-1v = 0 + -6

Combine like terms: 0 + -6 = -6
-1v = -6

Divide each side by '-1'.
v = 6

Simplifying
v = 6
Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v = 0 + -6
-1v = 0 + -6

Combine like terms: 0 + -6 = -6
-1v = -6

Divide each side by '-1'.
v = 6

Simplifying
v = 6
Solution
v = {6, 6}