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

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


Simplifying
(3x3y4 + 4x2y3 + -2xy2 + 5y)(4x2y2 + -3xy) = 0

Reorder the terms:
(-2xy2 + 4x2y3 + 3x3y4 + 5y)(4x2y2 + -3xy) = 0

Reorder the terms:
(-2xy2 + 4x2y3 + 3x3y4 + 5y)(-3xy + 4x2y2) = 0

Multiply (-2xy2 + 4x2y3 + 3x3y4 + 5y) * (-3xy + 4x2y2)
(-2xy2 * (-3xy + 4x2y2) + 4x2y3 * (-3xy + 4x2y2) + 3x3y4 * (-3xy + 4x2y2) + 5y * (-3xy + 4x2y2)) = 0
((-3xy * -2xy2 + 4x2y2 * -2xy2) + 4x2y3 * (-3xy + 4x2y2) + 3x3y4 * (-3xy + 4x2y2) + 5y * (-3xy + 4x2y2)) = 0
((6x2y3 + -8x3y4) + 4x2y3 * (-3xy + 4x2y2) + 3x3y4 * (-3xy + 4x2y2) + 5y * (-3xy + 4x2y2)) = 0
(6x2y3 + -8x3y4 + (-3xy * 4x2y3 + 4x2y2 * 4x2y3) + 3x3y4 * (-3xy + 4x2y2) + 5y * (-3xy + 4x2y2)) = 0
(6x2y3 + -8x3y4 + (-12x3y4 + 16x4y5) + 3x3y4 * (-3xy + 4x2y2) + 5y * (-3xy + 4x2y2)) = 0
(6x2y3 + -8x3y4 + -12x3y4 + 16x4y5 + (-3xy * 3x3y4 + 4x2y2 * 3x3y4) + 5y * (-3xy + 4x2y2)) = 0
(6x2y3 + -8x3y4 + -12x3y4 + 16x4y5 + (-9x4y5 + 12x5y6) + 5y * (-3xy + 4x2y2)) = 0
(6x2y3 + -8x3y4 + -12x3y4 + 16x4y5 + -9x4y5 + 12x5y6 + (-3xy * 5y + 4x2y2 * 5y)) = 0
(6x2y3 + -8x3y4 + -12x3y4 + 16x4y5 + -9x4y5 + 12x5y6 + (-15xy2 + 20x2y3)) = 0

Reorder the terms:
(-15xy2 + 6x2y3 + 20x2y3 + -8x3y4 + -12x3y4 + 16x4y5 + -9x4y5 + 12x5y6) = 0

Combine like terms: 6x2y3 + 20x2y3 = 26x2y3
(-15xy2 + 26x2y3 + -8x3y4 + -12x3y4 + 16x4y5 + -9x4y5 + 12x5y6) = 0

Combine like terms: -8x3y4 + -12x3y4 = -20x3y4
(-15xy2 + 26x2y3 + -20x3y4 + 16x4y5 + -9x4y5 + 12x5y6) = 0

Combine like terms: 16x4y5 + -9x4y5 = 7x4y5
(-15xy2 + 26x2y3 + -20x3y4 + 7x4y5 + 12x5y6) = 0

Solving
-15xy2 + 26x2y3 + -20x3y4 + 7x4y5 + 12x5y6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy2'.
xy2(-15 + 26xy + -20x2y2 + 7x3y3 + 12x4y4) = 0


Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve:

Simplifying
xy2 = 0

Solving
xy2 = 0

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

Simplifying
xy2 = 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 '(-15 + 26xy + -20x2y2 + 7x3y3 + 12x4y4)' equal to zero and attempt to solve:

Simplifying
-15 + 26xy + -20x2y2 + 7x3y3 + 12x4y4 = 0

Solving
-15 + 26xy + -20x2y2 + 7x3y3 + 12x4y4 = 0

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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