v^2+2vu+u^2=

Solution for v^2+2vu+u^2= equation:

Simplifying
v2 + 2vu + u2 = 0

Reorder the terms:
2uv + u2 + v2 = 0

Solving
2uv + u2 + v2 = 0

Solving for variable 'u'.

Factor a trinomial.
(u + v)(u + v) = 0

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

Simplifying
u + v = 0

Solving
u + v = 0

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

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

Combine like terms: v + -1v = 0
u + 0 = 0 + -1v
u = 0 + -1v
Remove the zero:
u = -1v

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

Simplifying
u + v = 0

Solving
u + v = 0

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

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

Combine like terms: v + -1v = 0
u + 0 = 0 + -1v
u = 0 + -1v
Remove the zero:
u = -1v

Simplifying
u = -1v
Solution
u = {-1v, -1v}