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

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


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

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

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

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

Reorder the terms:
((3xy3 + -9x2y2 + 3x3y) + 2x2 * (-3xy + x2 + y2) + 2y2 * (-3xy + x2 + y2)) = 0
((3xy3 + -9x2y2 + 3x3y) + 2x2 * (-3xy + x2 + y2) + 2y2 * (-3xy + x2 + y2)) = 0
(3xy3 + -9x2y2 + 3x3y + (-3xy * 2x2 + x2 * 2x2 + y2 * 2x2) + 2y2 * (-3xy + x2 + y2)) = 0

Reorder the terms:
(3xy3 + -9x2y2 + 3x3y + (2x2y2 + -6x3y + 2x4) + 2y2 * (-3xy + x2 + y2)) = 0
(3xy3 + -9x2y2 + 3x3y + (2x2y2 + -6x3y + 2x4) + 2y2 * (-3xy + x2 + y2)) = 0
(3xy3 + -9x2y2 + 3x3y + 2x2y2 + -6x3y + 2x4 + (-3xy * 2y2 + x2 * 2y2 + y2 * 2y2)) = 0
(3xy3 + -9x2y2 + 3x3y + 2x2y2 + -6x3y + 2x4 + (-6xy3 + 2x2y2 + 2y4)) = 0

Reorder the terms:
(3xy3 + -6xy3 + -9x2y2 + 2x2y2 + 2x2y2 + 3x3y + -6x3y + 2x4 + 2y4) = 0

Combine like terms: 3xy3 + -6xy3 = -3xy3
(-3xy3 + -9x2y2 + 2x2y2 + 2x2y2 + 3x3y + -6x3y + 2x4 + 2y4) = 0

Combine like terms: -9x2y2 + 2x2y2 = -7x2y2
(-3xy3 + -7x2y2 + 2x2y2 + 3x3y + -6x3y + 2x4 + 2y4) = 0

Combine like terms: -7x2y2 + 2x2y2 = -5x2y2
(-3xy3 + -5x2y2 + 3x3y + -6x3y + 2x4 + 2y4) = 0

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

Solving
-3xy3 + -5x2y2 + -3x3y + 2x4 + 2y4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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