(6u+6v)(6u+6v)=

Solution for (6u+6v)(6u+6v)= equation:

Simplifying
(6u + 6v)(6u + 6v) = 0

Multiply (6u + 6v) * (6u + 6v)
(6u * (6u + 6v) + 6v * (6u + 6v)) = 0
((6u * 6u + 6v * 6u) + 6v * (6u + 6v)) = 0

Reorder the terms:
((36uv + 36u2) + 6v * (6u + 6v)) = 0
((36uv + 36u2) + 6v * (6u + 6v)) = 0
(36uv + 36u2 + (6u * 6v + 6v * 6v)) = 0
(36uv + 36u2 + (36uv + 36v2)) = 0

Reorder the terms:
(36uv + 36uv + 36u2 + 36v2) = 0

Combine like terms: 36uv + 36uv = 72uv
(72uv + 36u2 + 36v2) = 0

Solving
72uv + 36u2 + 36v2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '36'.
36(2uv + u2 + v2) = 0

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

Ignore the factor 36.
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}