(3xy-1)(3xy-5)=

Solution for (3xy-1)(3xy-5)= equation:

Simplifying
(3xy + -1)(3xy + -5) = 0

Reorder the terms:
(-1 + 3xy)(3xy + -5) = 0

Reorder the terms:
(-1 + 3xy)(-5 + 3xy) = 0

Multiply (-1 + 3xy) * (-5 + 3xy)
(-1(-5 + 3xy) + 3xy * (-5 + 3xy)) = 0
((-5 * -1 + 3xy * -1) + 3xy * (-5 + 3xy)) = 0
((5 + -3xy) + 3xy * (-5 + 3xy)) = 0
(5 + -3xy + (-5 * 3xy + 3xy * 3xy)) = 0
(5 + -3xy + (-15xy + 9x2y2)) = 0

Combine like terms: -3xy + -15xy = -18xy
(5 + -18xy + 9x2y2) = 0

Solving
5 + -18xy + 9x2y2 = 0

Solving for variable 'x'.

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

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

Simplifying
1 + -3xy = 0

Solving
1 + -3xy = 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 + -3xy = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3xy = 0 + -1
-3xy = 0 + -1

Combine like terms: 0 + -1 = -1
-3xy = -1

Divide each side by '-3y'.
x = 0.3333333333y-1

Simplifying
x = 0.3333333333y-1
Subproblem 2
Set the factor '(5 + -3xy)' equal to zero and attempt to solve:

Simplifying
5 + -3xy = 0

Solving
5 + -3xy = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3xy = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3xy = 0 + -5
-3xy = 0 + -5

Combine like terms: 0 + -5 = -5
-3xy = -5

Divide each side by '-3y'.
x = 1.666666667y-1

Simplifying
x = 1.666666667y-1
Solution
x = {0.3333333333y-1, 1.666666667y-1}