(5xy+4)(3xy-2)=

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Solution for (5xy+4)(3xy-2)= equation: 


Simplifying
(5xy + 4)(3xy + -2) = 0

Reorder the terms:
(4 + 5xy)(3xy + -2) = 0

Reorder the terms:
(4 + 5xy)(-2 + 3xy) = 0

Multiply (4 + 5xy) * (-2 + 3xy)
(4(-2 + 3xy) + 5xy * (-2 + 3xy)) = 0
((-2 * 4 + 3xy * 4) + 5xy * (-2 + 3xy)) = 0
((-8 + 12xy) + 5xy * (-2 + 3xy)) = 0
(-8 + 12xy + (-2 * 5xy + 3xy * 5xy)) = 0
(-8 + 12xy + (-10xy + 15x2y2)) = 0

Combine like terms: 12xy + -10xy = 2xy
(-8 + 2xy + 15x2y2) = 0

Solving
-8 + 2xy + 15x2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -5xy)(2 + -3xy) = 0


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

Simplifying
-4 + -5xy = 0

Solving
-4 + -5xy = 0

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

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

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

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

Divide each side by '-5y'.
x = -0.8y-1

Simplifying
x = -0.8y-1

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

Simplifying
2 + -3xy = 0

Solving
2 + -3xy = 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 + -3xy = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3xy = 0 + -2
-3xy = 0 + -2

Combine like terms: 0 + -2 = -2
-3xy = -2

Divide each side by '-3y'.
x = 0.6666666667y-1

Simplifying
x = 0.6666666667y-1
Solution
x = {-0.8y-1, 0.6666666667y-1}

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