2x^2y^2-7xy-15=0

Solution for 2x^2y^2-7xy-15=0 equation:

Simplifying
2x2y2 + -7xy + -15 = 0

Reorder the terms:
-15 + -7xy + 2x2y2 = 0

Solving
-15 + -7xy + 2x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -2xy)(5 + -1xy) = 0

Subproblem 1
Set the factor '(-3 + -2xy)' equal to zero and attempt to solve:

Simplifying
-3 + -2xy = 0

Solving
-3 + -2xy = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2xy = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2xy = 0 + 3
-2xy = 0 + 3

Combine like terms: 0 + 3 = 3
-2xy = 3

Divide each side by '-2y'.
x = -1.5y-1

Simplifying
x = -1.5y-1
Subproblem 2
Set the factor '(5 + -1xy)' equal to zero and attempt to solve:

Simplifying
5 + -1xy = 0

Solving
5 + -1xy = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1xy = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1xy = 0 + -5
-1xy = 0 + -5

Combine like terms: 0 + -5 = -5
-1xy = -5

Divide each side by '-1y'.
x = 5y-1

Simplifying
x = 5y-1
Solution
x = {-1.5y-1, 5y-1}