8x^2y^2-44xy+48=0

Solution for 8x^2y^2-44xy+48=0 equation:

Simplifying
8x2y2 + -44xy + 48 = 0

Reorder the terms:
48 + -44xy + 8x2y2 = 0

Solving
48 + -44xy + 8x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(12 + -11xy + 2x2y2) = 0

Factor a trinomial.
4((3 + -2xy)(4 + -1xy)) = 0

Ignore the factor 4.
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 '(4 + -1xy)' equal to zero and attempt to solve:

Simplifying
4 + -1xy = 0

Solving
4 + -1xy = 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 + -1xy = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1xy = 0 + -4
-1xy = 0 + -4

Combine like terms: 0 + -4 = -4
-1xy = -4

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

Simplifying
x = 4y-1
Solution
x = {1.5y-1, 4y-1}