(5xy-2)(4xy+4)=

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Solution for (5xy-2)(4xy+4)= equation: 


Simplifying
(5xy + -2)(4xy + 4) = 0

Reorder the terms:
(-2 + 5xy)(4xy + 4) = 0

Reorder the terms:
(-2 + 5xy)(4 + 4xy) = 0

Multiply (-2 + 5xy) * (4 + 4xy)
(-2(4 + 4xy) + 5xy * (4 + 4xy)) = 0
((4 * -2 + 4xy * -2) + 5xy * (4 + 4xy)) = 0
((-8 + -8xy) + 5xy * (4 + 4xy)) = 0
(-8 + -8xy + (4 * 5xy + 4xy * 5xy)) = 0
(-8 + -8xy + (20xy + 20x2y2)) = 0

Combine like terms: -8xy + 20xy = 12xy
(-8 + 12xy + 20x2y2) = 0

Solving
-8 + 12xy + 20x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + 3xy + 5x2y2) = 0

Factor a trinomial.
4((-1 + -1xy)(2 + -5xy)) = 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 '(2 + -5xy)' equal to zero and attempt to solve:

Simplifying
2 + -5xy = 0

Solving
2 + -5xy = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5xy = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5xy = 0 + -2
-5xy = 0 + -2

Combine like terms: 0 + -2 = -2
-5xy = -2

Divide each side by '-5y'.
x = 0.4y-1

Simplifying
x = 0.4y-1
Solution
x = {-1y-1, 0.4y-1}

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