(8xy-3)(4xy+4)=

Solution for (8xy-3)(4xy+4)= equation:

Simplifying
(8xy + -3)(4xy + 4) = 0

Reorder the terms:
(-3 + 8xy)(4xy + 4) = 0

Reorder the terms:
(-3 + 8xy)(4 + 4xy) = 0

Multiply (-3 + 8xy) * (4 + 4xy)
(-3(4 + 4xy) + 8xy * (4 + 4xy)) = 0
((4 * -3 + 4xy * -3) + 8xy * (4 + 4xy)) = 0
((-12 + -12xy) + 8xy * (4 + 4xy)) = 0
(-12 + -12xy + (4 * 8xy + 4xy * 8xy)) = 0
(-12 + -12xy + (32xy + 32x2y2)) = 0

Combine like terms: -12xy + 32xy = 20xy
(-12 + 20xy + 32x2y2) = 0

Solving
-12 + 20xy + 32x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + 5xy + 8x2y2) = 0

Factor a trinomial.
4((-1 + -1xy)(3 + -8xy)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -1xy)' equal to zero and attempt to solve:

Simplifying
-1 + -1xy = 0

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

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

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

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

Simplifying
x = -1y-1
Subproblem 2
Set the factor '(3 + -8xy)' equal to zero and attempt to solve:

Simplifying
3 + -8xy = 0

Solving
3 + -8xy = 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 + -8xy = 0 + -3

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

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

Divide each side by '-8y'.
x = 0.375y-1

Simplifying
x = 0.375y-1
Solution
x = {-1y-1, 0.375y-1}