(9xy-1)(2xy+6)=

Solution for (9xy-1)(2xy+6)= equation:

Simplifying
(9xy + -1)(2xy + 6) = 0

Reorder the terms:
(-1 + 9xy)(2xy + 6) = 0

Reorder the terms:
(-1 + 9xy)(6 + 2xy) = 0

Multiply (-1 + 9xy) * (6 + 2xy)
(-1(6 + 2xy) + 9xy * (6 + 2xy)) = 0
((6 * -1 + 2xy * -1) + 9xy * (6 + 2xy)) = 0
((-6 + -2xy) + 9xy * (6 + 2xy)) = 0
(-6 + -2xy + (6 * 9xy + 2xy * 9xy)) = 0
(-6 + -2xy + (54xy + 18x2y2)) = 0

Combine like terms: -2xy + 54xy = 52xy
(-6 + 52xy + 18x2y2) = 0

Solving
-6 + 52xy + 18x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 26xy + 9x2y2) = 0

Factor a trinomial.
2((-3 + -1xy)(1 + -9xy)) = 0

Ignore the factor 2.
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 '(1 + -9xy)' equal to zero and attempt to solve:

Simplifying
1 + -9xy = 0

Solving
1 + -9xy = 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 + -9xy = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9xy = 0 + -1
-9xy = 0 + -1

Combine like terms: 0 + -1 = -1
-9xy = -1

Divide each side by '-9y'.
x = 0.1111111111y-1

Simplifying
x = 0.1111111111y-1
Solution
x = {-3y-1, 0.1111111111y-1}