2u^2v^2-7uv-30=0

Solution for 2u^2v^2-7uv-30=0 equation:

Simplifying
2u2v2 + -7uv + -30 = 0

Reorder the terms:
-30 + -7uv + 2u2v2 = 0

Solving
-30 + -7uv + 2u2v2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-5 + -2uv)(6 + -1uv) = 0

Subproblem 1
Set the factor '(-5 + -2uv)' equal to zero and attempt to solve:

Simplifying
-5 + -2uv = 0

Solving
-5 + -2uv = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2uv = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2uv = 0 + 5
-2uv = 0 + 5

Combine like terms: 0 + 5 = 5
-2uv = 5

Divide each side by '-2v'.
u = -2.5v-1

Simplifying
u = -2.5v-1
Subproblem 2
Set the factor '(6 + -1uv)' equal to zero and attempt to solve:

Simplifying
6 + -1uv = 0

Solving
6 + -1uv = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1uv = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1uv = 0 + -6
-1uv = 0 + -6

Combine like terms: 0 + -6 = -6
-1uv = -6

Divide each side by '-1v'.
u = 6v-1

Simplifying
u = 6v-1
Solution
u = {-2.5v-1, 6v-1}