(xy-4)(xy+4)=

Solution for (xy-4)(xy+4)= equation:

Simplifying
(xy + -4)(xy + 4) = 0

Reorder the terms:
(-4 + xy)(xy + 4) = 0

Reorder the terms:
(-4 + xy)(4 + xy) = 0

Multiply (-4 + xy) * (4 + xy)
(-4(4 + xy) + xy(4 + xy)) = 0
((4 * -4 + xy * -4) + xy(4 + xy)) = 0
((-16 + -4xy) + xy(4 + xy)) = 0
(-16 + -4xy + (4 * xy + xy * xy)) = 0
(-16 + -4xy + (4xy + x2y2)) = 0

Combine like terms: -4xy + 4xy = 0
(-16 + 0 + x2y2) = 0
(-16 + x2y2) = 0

Solving
-16 + x2y2 = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + x2y2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + x2y2 = 0 + 16
x2y2 = 0 + 16

Combine like terms: 0 + 16 = 16
x2y2 = 16

Divide each side by 'y2'.
x2 = 16y-2

Simplifying
x2 = 16y-2

Take the square root of each side:
x = {-4y-1, 4y-1}