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

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

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

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

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

Multiply (-3 + 6xy) * (5 + 3xy)
(-3(5 + 3xy) + 6xy * (5 + 3xy)) = 0
((5 * -3 + 3xy * -3) + 6xy * (5 + 3xy)) = 0
((-15 + -9xy) + 6xy * (5 + 3xy)) = 0
(-15 + -9xy + (5 * 6xy + 3xy * 6xy)) = 0
(-15 + -9xy + (30xy + 18x2y2)) = 0

Combine like terms: -9xy + 30xy = 21xy
(-15 + 21xy + 18x2y2) = 0

Solving
-15 + 21xy + 18x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 7xy + 6x2y2) = 0

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

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + -2xy)' equal to zero and attempt to solve:

Simplifying
1 + -2xy = 0

Solving
1 + -2xy = 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 + -2xy = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2xy = 0 + -1
-2xy = 0 + -1

Combine like terms: 0 + -1 = -1
-2xy = -1

Divide each side by '-2y'.
x = 0.5y-1

Simplifying
x = 0.5y-1
Solution
x = {-1.666666667y-1, 0.5y-1}