6x^2y^2-7xy-20=0

Solution for 6x^2y^2-7xy-20=0 equation:

Simplifying
6x2y2 + -7xy + -20 = 0

Reorder the terms:
-20 + -7xy + 6x2y2 = 0

Solving
-20 + -7xy + 6x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -3xy)(5 + -2xy) = 0

Subproblem 1
Set the factor '(-4 + -3xy)' equal to zero and attempt to solve:

Simplifying
-4 + -3xy = 0

Solving
-4 + -3xy = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3xy = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3xy = 0 + 4
-3xy = 0 + 4

Combine like terms: 0 + 4 = 4
-3xy = 4

Divide each side by '-3y'.
x = -1.333333333y-1

Simplifying
x = -1.333333333y-1
Subproblem 2
Set the factor '(5 + -2xy)' equal to zero and attempt to solve:

Simplifying
5 + -2xy = 0

Solving
5 + -2xy = 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 + -2xy = 0 + -5

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

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

Divide each side by '-2y'.
x = 2.5y-1

Simplifying
x = 2.5y-1
Solution
x = {-1.333333333y-1, 2.5y-1}