9x^2y^2-18xy+8=0

Solution for 9x^2y^2-18xy+8=0 equation:

Simplifying
9x2y2 + -18xy + 8 = 0

Reorder the terms:
8 + -18xy + 9x2y2 = 0

Solving
8 + -18xy + 9x2y2 = 0

Solving for variable 'x'.

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

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

Simplifying
2 + -3xy = 0

Solving
2 + -3xy = 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 + -3xy = 0 + -2

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

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

Divide each side by '-3y'.
x = 0.6666666667y-1

Simplifying
x = 0.6666666667y-1
Subproblem 2
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
Solution
x = {0.6666666667y-1, 1.333333333y-1}