u+uv+uv+uv+uv+uv+uv=

Solution for u+uv+uv+uv+uv+uv+uv= equation:

Simplifying
u + uv + uv + uv + uv + uv + uv = 0

Combine like terms: uv + uv = 2uv
u + 2uv + uv + uv + uv + uv = 0

Combine like terms: 2uv + uv = 3uv
u + 3uv + uv + uv + uv = 0

Combine like terms: 3uv + uv = 4uv
u + 4uv + uv + uv = 0

Combine like terms: 4uv + uv = 5uv
u + 5uv + uv = 0

Combine like terms: 5uv + uv = 6uv
u + 6uv = 0

Solving
u + 6uv = 0

Solving for variable 'u'.

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

Factor out the Greatest Common Factor (GCF), 'u'.
u(1 + 6v) = 0

Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0
Subproblem 2
Set the factor '(1 + 6v)' equal to zero and attempt to solve:

Simplifying
1 + 6v = 0

Solving
1 + 6v = 0

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

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

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

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

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

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

Simplifying
0 = -1 + -6v

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
u = {0}