16u^2+96uv=0

Solution for 16u^2+96uv=0 equation:

Simplifying
16u2 + 96uv = 0

Reorder the terms:
96uv + 16u2 = 0

Solving
96uv + 16u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '16u'.
16u(6v + u) = 0

Ignore the factor 16.
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 '(6v + u)' equal to zero and attempt to solve:

Simplifying
6v + u = 0

Reorder the terms:
u + 6v = 0

Solving
u + 6v = 0

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

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

Combine like terms: 6v + -6v = 0
u + 0 = 0 + -6v
u = 0 + -6v
Remove the zero:
u = -6v

Simplifying
u = -6v
Solution
u = {0, -6v}