v+1+v+1+v+1=v*v

Solution for v+1+v+1+v+1=v*v equation:

Simplifying
v + 1 + v + 1 + v + 1 = v * v

Reorder the terms:
1 + 1 + 1 + v + v + v = v * v

Combine like terms: 1 + 1 = 2
2 + 1 + v + v + v = v * v

Combine like terms: 2 + 1 = 3
3 + v + v + v = v * v

Combine like terms: v + v = 2v
3 + 2v + v = v * v

Combine like terms: 2v + v = 3v
3 + 3v = v * v

Multiply v * v
3 + 3v = v2

Solving
3 + 3v = v2

Solving for variable 'v'.

Combine like terms: v2 + -1v2 = 0
3 + 3v + -1v2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-3 + -3v + v2 = 0

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + -3v + 3 + v2 = 0 + 3

Reorder the terms:
-3 + 3 + -3v + v2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -3v + v2 = 0 + 3
-3v + v2 = 0 + 3

Combine like terms: 0 + 3 = 3
-3v + v2 = 3

The v term is -3v.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3v + 2.25 + v2 = 3 + 2.25

Reorder the terms:
2.25 + -3v + v2 = 3 + 2.25

Combine like terms: 3 + 2.25 = 5.25
2.25 + -3v + v2 = 5.25

Factor a perfect square on the left side:
(v + -1.5)(v + -1.5) = 5.25

Calculate the square root of the right side: 2.291287847

Break this problem into two subproblems by setting 
(v + -1.5) equal to 2.291287847 and -2.291287847.

Subproblem 1
v + -1.5 = 2.291287847

Simplifying
v + -1.5 = 2.291287847

Reorder the terms:
-1.5 + v = 2.291287847

Solving
-1.5 + v = 2.291287847

Solving for variable 'v'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + v = 2.291287847 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + v = 2.291287847 + 1.5
v = 2.291287847 + 1.5

Combine like terms: 2.291287847 + 1.5 = 3.791287847
v = 3.791287847

Simplifying
v = 3.791287847

Subproblem 2
v + -1.5 = -2.291287847

Simplifying
v + -1.5 = -2.291287847

Reorder the terms:
-1.5 + v = -2.291287847

Solving
-1.5 + v = -2.291287847

Solving for variable 'v'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + v = -2.291287847 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + v = -2.291287847 + 1.5
v = -2.291287847 + 1.5

Combine like terms: -2.291287847 + 1.5 = -0.791287847
v = -0.791287847

Simplifying
v = -0.791287847

Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {3.791287847, -0.791287847}