u^2-3uv-40v^2=

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Solution for u^2-3uv-40v^2= equation: 


Simplifying
u2 + -3uv + -40v2 = 0

Reorder the terms:
-3uv + u2 + -40v2 = 0

Solving
-3uv + u2 + -40v2 = 0

Solving for variable 'u'.

Factor a trinomial.
(u + -8v)(u + 5v) = 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 + 5v)' equal to zero and attempt to solve:

Simplifying
u + 5v = 0

Solving
u + 5v = 0

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

Add '-5v' to each side of the equation.
u + 5v + -5v = 0 + -5v

Combine like terms: 5v + -5v = 0
u + 0 = 0 + -5v
u = 0 + -5v
Remove the zero:
u = -5v

Simplifying
u = -5v
Solution
u = {8v, -5v}

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