(3xy-1)(5xy+2)=

Solution for (3xy-1)(5xy+2)= equation:

Simplifying
(3xy + -1)(5xy + 2) = 0

Reorder the terms:
(-1 + 3xy)(5xy + 2) = 0

Reorder the terms:
(-1 + 3xy)(2 + 5xy) = 0

Multiply (-1 + 3xy) * (2 + 5xy)
(-1(2 + 5xy) + 3xy * (2 + 5xy)) = 0
((2 * -1 + 5xy * -1) + 3xy * (2 + 5xy)) = 0
((-2 + -5xy) + 3xy * (2 + 5xy)) = 0
(-2 + -5xy + (2 * 3xy + 5xy * 3xy)) = 0
(-2 + -5xy + (6xy + 15x2y2)) = 0

Combine like terms: -5xy + 6xy = 1xy
(-2 + 1xy + 15x2y2) = 0

Solving
-2 + 1xy + 15x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -5xy)(1 + -3xy) = 0

Subproblem 1
Set the factor '(-2 + -5xy)' equal to zero and attempt to solve:

Simplifying
-2 + -5xy = 0

Solving
-2 + -5xy = 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 + -5xy = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5xy = 0 + 2
-5xy = 0 + 2

Combine like terms: 0 + 2 = 2
-5xy = 2

Divide each side by '-5y'.
x = -0.4y-1

Simplifying
x = -0.4y-1
Subproblem 2
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
Solution
x = {-0.4y-1, 0.3333333333y-1}