(7xy-3)(3xy+9)=

Solution for (7xy-3)(3xy+9)= equation:

Simplifying
(7xy + -3)(3xy + 9) = 0

Reorder the terms:
(-3 + 7xy)(3xy + 9) = 0

Reorder the terms:
(-3 + 7xy)(9 + 3xy) = 0

Multiply (-3 + 7xy) * (9 + 3xy)
(-3(9 + 3xy) + 7xy * (9 + 3xy)) = 0
((9 * -3 + 3xy * -3) + 7xy * (9 + 3xy)) = 0
((-27 + -9xy) + 7xy * (9 + 3xy)) = 0
(-27 + -9xy + (9 * 7xy + 3xy * 7xy)) = 0
(-27 + -9xy + (63xy + 21x2y2)) = 0

Combine like terms: -9xy + 63xy = 54xy
(-27 + 54xy + 21x2y2) = 0

Solving
-27 + 54xy + 21x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-9 + 18xy + 7x2y2) = 0

Factor a trinomial.
3((-3 + -1xy)(3 + -7xy)) = 0

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

Simplifying
-3 + -1xy = 0

Solving
-3 + -1xy = 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 + -1xy = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1xy = 0 + 3
-1xy = 0 + 3

Combine like terms: 0 + 3 = 3
-1xy = 3

Divide each side by '-1y'.
x = -3y-1

Simplifying
x = -3y-1
Subproblem 2
Set the factor '(3 + -7xy)' equal to zero and attempt to solve:

Simplifying
3 + -7xy = 0

Solving
3 + -7xy = 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 + -7xy = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7xy = 0 + -3
-7xy = 0 + -3

Combine like terms: 0 + -3 = -3
-7xy = -3

Divide each side by '-7y'.
x = 0.4285714286y-1

Simplifying
x = 0.4285714286y-1
Solution
x = {-3y-1, 0.4285714286y-1}