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

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


Simplifying
(2x2 + -3xy + y2)(x2 + 2xy + -1y2) = 0

Reorder the terms:
(-3xy + 2x2 + y2)(x2 + 2xy + -1y2) = 0

Reorder the terms:
(-3xy + 2x2 + y2)(2xy + x2 + -1y2) = 0

Multiply (-3xy + 2x2 + y2) * (2xy + x2 + -1y2)
(-3xy * (2xy + x2 + -1y2) + 2x2 * (2xy + x2 + -1y2) + y2(2xy + x2 + -1y2)) = 0
((2xy * -3xy + x2 * -3xy + -1y2 * -3xy) + 2x2 * (2xy + x2 + -1y2) + y2(2xy + x2 + -1y2)) = 0

Reorder the terms:
((3xy3 + -6x2y2 + -3x3y) + 2x2 * (2xy + x2 + -1y2) + y2(2xy + x2 + -1y2)) = 0
((3xy3 + -6x2y2 + -3x3y) + 2x2 * (2xy + x2 + -1y2) + y2(2xy + x2 + -1y2)) = 0
(3xy3 + -6x2y2 + -3x3y + (2xy * 2x2 + x2 * 2x2 + -1y2 * 2x2) + y2(2xy + x2 + -1y2)) = 0

Reorder the terms:
(3xy3 + -6x2y2 + -3x3y + (-2x2y2 + 4x3y + 2x4) + y2(2xy + x2 + -1y2)) = 0
(3xy3 + -6x2y2 + -3x3y + (-2x2y2 + 4x3y + 2x4) + y2(2xy + x2 + -1y2)) = 0
(3xy3 + -6x2y2 + -3x3y + -2x2y2 + 4x3y + 2x4 + (2xy * y2 + x2 * y2 + -1y2 * y2)) = 0
(3xy3 + -6x2y2 + -3x3y + -2x2y2 + 4x3y + 2x4 + (2xy3 + x2y2 + -1y4)) = 0

Reorder the terms:
(3xy3 + 2xy3 + -6x2y2 + -2x2y2 + x2y2 + -3x3y + 4x3y + 2x4 + -1y4) = 0

Combine like terms: 3xy3 + 2xy3 = 5xy3
(5xy3 + -6x2y2 + -2x2y2 + x2y2 + -3x3y + 4x3y + 2x4 + -1y4) = 0

Combine like terms: -6x2y2 + -2x2y2 = -8x2y2
(5xy3 + -8x2y2 + x2y2 + -3x3y + 4x3y + 2x4 + -1y4) = 0

Combine like terms: -8x2y2 + x2y2 = -7x2y2
(5xy3 + -7x2y2 + -3x3y + 4x3y + 2x4 + -1y4) = 0

Combine like terms: -3x3y + 4x3y = 1x3y
(5xy3 + -7x2y2 + 1x3y + 2x4 + -1y4) = 0

Solving
5xy3 + -7x2y2 + 1x3y + 2x4 + -1y4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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