V^2+2V+1=

Solution for V^2+2V+1= equation:

Simplifying
V2 + 2V + 1 = 0

Reorder the terms:
1 + 2V + V2 = 0

Solving
1 + 2V + V2 = 0

Solving for variable 'V'.

Factor a trinomial.
(1 + V)(1 + V) = 0

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

Simplifying
1 + V = 0

Solving
1 + V = 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 + V = 0 + -1

Combine like terms: 1 + -1 = 0
0 + V = 0 + -1
V = 0 + -1

Combine like terms: 0 + -1 = -1
V = -1

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

Simplifying
1 + V = 0

Solving
1 + V = 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 + V = 0 + -1

Combine like terms: 1 + -1 = 0
0 + V = 0 + -1
V = 0 + -1

Combine like terms: 0 + -1 = -1
V = -1

Simplifying
V = -1
Solution
V = {-1, -1}