10x^2y^2+3xy-18=0

Solution for 10x^2y^2+3xy-18=0 equation:

Simplifying
10x2y2 + 3xy + -18 = 0

Reorder the terms:
-18 + 3xy + 10x2y2 = 0

Solving
-18 + 3xy + 10x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -2xy)(6 + -5xy) = 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 '(6 + -5xy)' equal to zero and attempt to solve:

Simplifying
6 + -5xy = 0

Solving
6 + -5xy = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5xy = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5xy = 0 + -6
-5xy = 0 + -6

Combine like terms: 0 + -6 = -6
-5xy = -6

Divide each side by '-5y'.
x = 1.2y-1

Simplifying
x = 1.2y-1
Solution
x = {-1.5y-1, 1.2y-1}