(9xy-1)(3xy+8)=

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Solution for (9xy-1)(3xy+8)= equation: 


Simplifying
(9xy + -1)(3xy + 8) = 0

Reorder the terms:
(-1 + 9xy)(3xy + 8) = 0

Reorder the terms:
(-1 + 9xy)(8 + 3xy) = 0

Multiply (-1 + 9xy) * (8 + 3xy)
(-1(8 + 3xy) + 9xy * (8 + 3xy)) = 0
((8 * -1 + 3xy * -1) + 9xy * (8 + 3xy)) = 0
((-8 + -3xy) + 9xy * (8 + 3xy)) = 0
(-8 + -3xy + (8 * 9xy + 3xy * 9xy)) = 0
(-8 + -3xy + (72xy + 27x2y2)) = 0

Combine like terms: -3xy + 72xy = 69xy
(-8 + 69xy + 27x2y2) = 0

Solving
-8 + 69xy + 27x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3xy)(1 + -9xy) = 0


Subproblem 1
Set the factor '(-8 + -3xy)' equal to zero and attempt to solve:

Simplifying
-8 + -3xy = 0

Solving
-8 + -3xy = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3xy = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3xy = 0 + 8
-3xy = 0 + 8

Combine like terms: 0 + 8 = 8
-3xy = 8

Divide each side by '-3y'.
x = -2.666666667y-1

Simplifying
x = -2.666666667y-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 = {-2.666666667y-1, 0.1111111111y-1}

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