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

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

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

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

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

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

Combine like terms: 15xy + -3xy = 12xy
3(-5 + 12xy + 9x2y2) = 0
(-5 * 3 + 12xy * 3 + 9x2y2 * 3) = 0
(-15 + 36xy + 27x2y2) = 0

Solving
-15 + 36xy + 27x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 12xy + 9x2y2) = 0

Factor a trinomial.
3((-5 + -3xy)(1 + -3xy)) = 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 + -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 = {-1.666666667y-1, 0.3333333333y-1}