(3x^2y-5xy-12xy^2)(5xy^2+4xy)=

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Solution for (3x^2y-5xy-12xy^2)(5xy^2+4xy)= equation: 


Simplifying
(3x2y + -5xy + -12xy2)(5xy2 + 4xy) = 0

Reorder the terms:
(-5xy + -12xy2 + 3x2y)(5xy2 + 4xy) = 0

Reorder the terms:
(-5xy + -12xy2 + 3x2y)(4xy + 5xy2) = 0

Multiply (-5xy + -12xy2 + 3x2y) * (4xy + 5xy2)
(-5xy * (4xy + 5xy2) + -12xy2 * (4xy + 5xy2) + 3x2y * (4xy + 5xy2)) = 0
((4xy * -5xy + 5xy2 * -5xy) + -12xy2 * (4xy + 5xy2) + 3x2y * (4xy + 5xy2)) = 0
((-20x2y2 + -25x2y3) + -12xy2 * (4xy + 5xy2) + 3x2y * (4xy + 5xy2)) = 0
(-20x2y2 + -25x2y3 + (4xy * -12xy2 + 5xy2 * -12xy2) + 3x2y * (4xy + 5xy2)) = 0
(-20x2y2 + -25x2y3 + (-48x2y3 + -60x2y4) + 3x2y * (4xy + 5xy2)) = 0
(-20x2y2 + -25x2y3 + -48x2y3 + -60x2y4 + (4xy * 3x2y + 5xy2 * 3x2y)) = 0
(-20x2y2 + -25x2y3 + -48x2y3 + -60x2y4 + (12x3y2 + 15x3y3)) = 0

Combine like terms: -25x2y3 + -48x2y3 = -73x2y3
(-20x2y2 + -73x2y3 + -60x2y4 + 12x3y2 + 15x3y3) = 0

Solving
-20x2y2 + -73x2y3 + -60x2y4 + 12x3y2 + 15x3y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2y2'.
x2y2(-20 + -73y + -60y2 + 12x + 15xy) = 0


Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve:

Simplifying
x2y2 = 0

Solving
x2y2 = 0

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

Simplifying
x2y2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-20 + -73y + -60y2 + 12x + 15xy)' equal to zero and attempt to solve:

Simplifying
-20 + -73y + -60y2 + 12x + 15xy = 0

Reorder the terms:
-20 + 12x + 15xy + -73y + -60y2 = 0

Solving
-20 + 12x + 15xy + -73y + -60y2 = 0

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

Add '20' to each side of the equation.
-20 + 12x + 15xy + -73y + 20 + -60y2 = 0 + 20

Reorder the terms:
-20 + 20 + 12x + 15xy + -73y + -60y2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 12x + 15xy + -73y + -60y2 = 0 + 20
12x + 15xy + -73y + -60y2 = 0 + 20

Combine like terms: 0 + 20 = 20
12x + 15xy + -73y + -60y2 = 20

Add '73y' to each side of the equation.
12x + 15xy + -73y + 73y + -60y2 = 20 + 73y

Combine like terms: -73y + 73y = 0
12x + 15xy + 0 + -60y2 = 20 + 73y
12x + 15xy + -60y2 = 20 + 73y

Add '60y2' to each side of the equation.
12x + 15xy + -60y2 + 60y2 = 20 + 73y + 60y2

Combine like terms: -60y2 + 60y2 = 0
12x + 15xy + 0 = 20 + 73y + 60y2
12x + 15xy = 20 + 73y + 60y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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