15x^2y^2-17xy-4=0

Solution for 15x^2y^2-17xy-4=0 equation:

Simplifying
15x2y2 + -17xy + -4 = 0

Reorder the terms:
-4 + -17xy + 15x2y2 = 0

Solving
-4 + -17xy + 15x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -5xy)(4 + -3xy) = 0

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

Simplifying
-1 + -5xy = 0

Solving
-1 + -5xy = 0

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

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

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

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

Divide each side by '-5y'.
x = -0.2y-1

Simplifying
x = -0.2y-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 = {-0.2y-1, 1.333333333y-1}