u^2-5uv-36v^2=

Solution for u^2-5uv-36v^2= equation:

Simplifying
u2 + -5uv + -36v2 = 0

Reorder the terms:
-5uv + u2 + -36v2 = 0

Solving
-5uv + u2 + -36v2 = 0

Solving for variable 'u'.

Factor a trinomial.
(u + -9v)(u + 4v) = 0

Subproblem 1
Set the factor '(u + -9v)' equal to zero and attempt to solve:

Simplifying
u + -9v = 0

Solving
u + -9v = 0

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

Add '9v' to each side of the equation.
u + -9v + 9v = 0 + 9v

Combine like terms: -9v + 9v = 0
u + 0 = 0 + 9v
u = 0 + 9v
Remove the zero:
u = 9v

Simplifying
u = 9v
Subproblem 2
Set the factor '(u + 4v)' equal to zero and attempt to solve:

Simplifying
u + 4v = 0

Solving
u + 4v = 0

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

Add '-4v' to each side of the equation.
u + 4v + -4v = 0 + -4v

Combine like terms: 4v + -4v = 0
u + 0 = 0 + -4v
u = 0 + -4v
Remove the zero:
u = -4v

Simplifying
u = -4v
Solution
u = {9v, -4v}