(3xy+2)(5xy-3)=

Solution for (3xy+2)(5xy-3)= equation:

Simplifying
(3xy + 2)(5xy + -3) = 0

Reorder the terms:
(2 + 3xy)(5xy + -3) = 0

Reorder the terms:
(2 + 3xy)(-3 + 5xy) = 0

Multiply (2 + 3xy) * (-3 + 5xy)
(2(-3 + 5xy) + 3xy * (-3 + 5xy)) = 0
((-3 * 2 + 5xy * 2) + 3xy * (-3 + 5xy)) = 0
((-6 + 10xy) + 3xy * (-3 + 5xy)) = 0
(-6 + 10xy + (-3 * 3xy + 5xy * 3xy)) = 0
(-6 + 10xy + (-9xy + 15x2y2)) = 0

Combine like terms: 10xy + -9xy = 1xy
(-6 + 1xy + 15x2y2) = 0

Solving
-6 + 1xy + 15x2y2 = 0

Solving for variable 'x'.

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

Simplifying
3 + -5xy = 0

Solving
3 + -5xy = 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 + -5xy = 0 + -3

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

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

Divide each side by '-5y'.
x = 0.6y-1

Simplifying
x = 0.6y-1
Solution
x = {-0.6666666667y-1, 0.6y-1}