(8xy-1)(2xy+9)=

Solution for (8xy-1)(2xy+9)= equation:

Simplifying
(8xy + -1)(2xy + 9) = 0

Reorder the terms:
(-1 + 8xy)(2xy + 9) = 0

Reorder the terms:
(-1 + 8xy)(9 + 2xy) = 0

Multiply (-1 + 8xy) * (9 + 2xy)
(-1(9 + 2xy) + 8xy * (9 + 2xy)) = 0
((9 * -1 + 2xy * -1) + 8xy * (9 + 2xy)) = 0
((-9 + -2xy) + 8xy * (9 + 2xy)) = 0
(-9 + -2xy + (9 * 8xy + 2xy * 8xy)) = 0
(-9 + -2xy + (72xy + 16x2y2)) = 0

Combine like terms: -2xy + 72xy = 70xy
(-9 + 70xy + 16x2y2) = 0

Solving
-9 + 70xy + 16x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -2xy)(1 + -8xy) = 0

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

Simplifying
-9 + -2xy = 0

Solving
-9 + -2xy = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -2xy = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2xy = 0 + 9
-2xy = 0 + 9

Combine like terms: 0 + 9 = 9
-2xy = 9

Divide each side by '-2y'.
x = -4.5y-1

Simplifying
x = -4.5y-1
Subproblem 2
Set the factor '(1 + -8xy)' equal to zero and attempt to solve:

Simplifying
1 + -8xy = 0

Solving
1 + -8xy = 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 + -8xy = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8xy = 0 + -1
-8xy = 0 + -1

Combine like terms: 0 + -1 = -1
-8xy = -1

Divide each side by '-8y'.
x = 0.125y-1

Simplifying
x = 0.125y-1
Solution
x = {-4.5y-1, 0.125y-1}