u^2-2uv-48v^2=

Solution for u^2-2uv-48v^2= equation:

Simplifying
u2 + -2uv + -48v2 = 0

Reorder the terms:
-2uv + u2 + -48v2 = 0

Solving
-2uv + u2 + -48v2 = 0

Solving for variable 'u'.

Factor a trinomial.
(u + -8v)(u + 6v) = 0

Subproblem 1
Set the factor '(u + -8v)' equal to zero and attempt to solve:

Simplifying
u + -8v = 0

Solving
u + -8v = 0

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

Add '8v' to each side of the equation.
u + -8v + 8v = 0 + 8v

Combine like terms: -8v + 8v = 0
u + 0 = 0 + 8v
u = 0 + 8v
Remove the zero:
u = 8v

Simplifying
u = 8v
Subproblem 2
Set the factor '(u + 6v)' equal to zero and attempt to solve:

Simplifying
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 = {8v, -6v}