(4xy+5)(3xy-5)=

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Solution for (4xy+5)(3xy-5)= equation: 


Simplifying
(4xy + 5)(3xy + -5) = 0

Reorder the terms:
(5 + 4xy)(3xy + -5) = 0

Reorder the terms:
(5 + 4xy)(-5 + 3xy) = 0

Multiply (5 + 4xy) * (-5 + 3xy)
(5(-5 + 3xy) + 4xy * (-5 + 3xy)) = 0
((-5 * 5 + 3xy * 5) + 4xy * (-5 + 3xy)) = 0
((-25 + 15xy) + 4xy * (-5 + 3xy)) = 0
(-25 + 15xy + (-5 * 4xy + 3xy * 4xy)) = 0
(-25 + 15xy + (-20xy + 12x2y2)) = 0

Combine like terms: 15xy + -20xy = -5xy
(-25 + -5xy + 12x2y2) = 0

Solving
-25 + -5xy + 12x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -4xy)(5 + -3xy) = 0


Subproblem 1
Set the factor '(-5 + -4xy)' equal to zero and attempt to solve:

Simplifying
-5 + -4xy = 0

Solving
-5 + -4xy = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4xy = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4xy = 0 + 5
-4xy = 0 + 5

Combine like terms: 0 + 5 = 5
-4xy = 5

Divide each side by '-4y'.
x = -1.25y-1

Simplifying
x = -1.25y-1

Subproblem 2
Set the factor '(5 + -3xy)' equal to zero and attempt to solve:

Simplifying
5 + -3xy = 0

Solving
5 + -3xy = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3xy = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3xy = 0 + -5
-3xy = 0 + -5

Combine like terms: 0 + -5 = -5
-3xy = -5

Divide each side by '-3y'.
x = 1.666666667y-1

Simplifying
x = 1.666666667y-1
Solution
x = {-1.25y-1, 1.666666667y-1}

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