(6xy+5)(5xy-3)=

Solution for (6xy+5)(5xy-3)= equation:

Simplifying
(6xy + 5)(5xy + -3) = 0

Reorder the terms:
(5 + 6xy)(5xy + -3) = 0

Reorder the terms:
(5 + 6xy)(-3 + 5xy) = 0

Multiply (5 + 6xy) * (-3 + 5xy)
(5(-3 + 5xy) + 6xy * (-3 + 5xy)) = 0
((-3 * 5 + 5xy * 5) + 6xy * (-3 + 5xy)) = 0
((-15 + 25xy) + 6xy * (-3 + 5xy)) = 0
(-15 + 25xy + (-3 * 6xy + 5xy * 6xy)) = 0
(-15 + 25xy + (-18xy + 30x2y2)) = 0

Combine like terms: 25xy + -18xy = 7xy
(-15 + 7xy + 30x2y2) = 0

Solving
-15 + 7xy + 30x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -6xy)(3 + -5xy) = 0

Subproblem 1
Set the factor '(-5 + -6xy)' equal to zero and attempt to solve:

Simplifying
-5 + -6xy = 0

Solving
-5 + -6xy = 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 + -6xy = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6xy = 0 + 5
-6xy = 0 + 5

Combine like terms: 0 + 5 = 5
-6xy = 5

Divide each side by '-6y'.
x = -0.8333333333y-1

Simplifying
x = -0.8333333333y-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 = {-0.8333333333y-1, 0.6y-1}