(4xy-1)(2xy+2)=

Solution for (4xy-1)(2xy+2)= equation:

Simplifying
(4xy + -1)(2xy + 2) = 0

Reorder the terms:
(-1 + 4xy)(2xy + 2) = 0

Reorder the terms:
(-1 + 4xy)(2 + 2xy) = 0

Multiply (-1 + 4xy) * (2 + 2xy)
(-1(2 + 2xy) + 4xy * (2 + 2xy)) = 0
((2 * -1 + 2xy * -1) + 4xy * (2 + 2xy)) = 0
((-2 + -2xy) + 4xy * (2 + 2xy)) = 0
(-2 + -2xy + (2 * 4xy + 2xy * 4xy)) = 0
(-2 + -2xy + (8xy + 8x2y2)) = 0

Combine like terms: -2xy + 8xy = 6xy
(-2 + 6xy + 8x2y2) = 0

Solving
-2 + 6xy + 8x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 3xy + 4x2y2) = 0

Factor a trinomial.
2((-1 + -1xy)(1 + -4xy)) = 0

Ignore the factor 2.
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 '(1 + -4xy)' equal to zero and attempt to solve:

Simplifying
1 + -4xy = 0

Solving
1 + -4xy = 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 + -4xy = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4xy = 0 + -1
-4xy = 0 + -1

Combine like terms: 0 + -1 = -1
-4xy = -1

Divide each side by '-4y'.
x = 0.25y-1

Simplifying
x = 0.25y-1
Solution
x = {-1y-1, 0.25y-1}