20x^2y^2-23xy+6=0

Solution for 20x^2y^2-23xy+6=0 equation:

Simplifying
20x2y2 + -23xy + 6 = 0

Reorder the terms:
6 + -23xy + 20x2y2 = 0

Solving
6 + -23xy + 20x2y2 = 0

Solving for variable 'x'.

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

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

Simplifying
2 + -5xy = 0

Solving
2 + -5xy = 0

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

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

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

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

Divide each side by '-5y'.
x = 0.4y-1

Simplifying
x = 0.4y-1
Subproblem 2
Set the factor '(3 + -4xy)' equal to zero and attempt to solve:

Simplifying
3 + -4xy = 0

Solving
3 + -4xy = 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 + -4xy = 0 + -3

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

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

Divide each side by '-4y'.
x = 0.75y-1

Simplifying
x = 0.75y-1
Solution
x = {0.4y-1, 0.75y-1}