(-5x^2-5xy-y^2)(6x^2+7xy-y^2)=0

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Solution for (-5x^2-5xy-y^2)(6x^2+7xy-y^2)=0 equation: 


Simplifying
(-5x2 + -5xy + -1y2)(6x2 + 7xy + -1y2) = 0

Reorder the terms:
(-5xy + -5x2 + -1y2)(6x2 + 7xy + -1y2) = 0

Reorder the terms:
(-5xy + -5x2 + -1y2)(7xy + 6x2 + -1y2) = 0

Multiply (-5xy + -5x2 + -1y2) * (7xy + 6x2 + -1y2)
(-5xy * (7xy + 6x2 + -1y2) + -5x2 * (7xy + 6x2 + -1y2) + -1y2 * (7xy + 6x2 + -1y2)) = 0
((7xy * -5xy + 6x2 * -5xy + -1y2 * -5xy) + -5x2 * (7xy + 6x2 + -1y2) + -1y2 * (7xy + 6x2 + -1y2)) = 0

Reorder the terms:
((5xy3 + -35x2y2 + -30x3y) + -5x2 * (7xy + 6x2 + -1y2) + -1y2 * (7xy + 6x2 + -1y2)) = 0
((5xy3 + -35x2y2 + -30x3y) + -5x2 * (7xy + 6x2 + -1y2) + -1y2 * (7xy + 6x2 + -1y2)) = 0
(5xy3 + -35x2y2 + -30x3y + (7xy * -5x2 + 6x2 * -5x2 + -1y2 * -5x2) + -1y2 * (7xy + 6x2 + -1y2)) = 0

Reorder the terms:
(5xy3 + -35x2y2 + -30x3y + (5x2y2 + -35x3y + -30x4) + -1y2 * (7xy + 6x2 + -1y2)) = 0
(5xy3 + -35x2y2 + -30x3y + (5x2y2 + -35x3y + -30x4) + -1y2 * (7xy + 6x2 + -1y2)) = 0
(5xy3 + -35x2y2 + -30x3y + 5x2y2 + -35x3y + -30x4 + (7xy * -1y2 + 6x2 * -1y2 + -1y2 * -1y2)) = 0
(5xy3 + -35x2y2 + -30x3y + 5x2y2 + -35x3y + -30x4 + (-7xy3 + -6x2y2 + 1y4)) = 0

Reorder the terms:
(5xy3 + -7xy3 + -35x2y2 + 5x2y2 + -6x2y2 + -30x3y + -35x3y + -30x4 + 1y4) = 0

Combine like terms: 5xy3 + -7xy3 = -2xy3
(-2xy3 + -35x2y2 + 5x2y2 + -6x2y2 + -30x3y + -35x3y + -30x4 + 1y4) = 0

Combine like terms: -35x2y2 + 5x2y2 = -30x2y2
(-2xy3 + -30x2y2 + -6x2y2 + -30x3y + -35x3y + -30x4 + 1y4) = 0

Combine like terms: -30x2y2 + -6x2y2 = -36x2y2
(-2xy3 + -36x2y2 + -30x3y + -35x3y + -30x4 + 1y4) = 0

Combine like terms: -30x3y + -35x3y = -65x3y
(-2xy3 + -36x2y2 + -65x3y + -30x4 + 1y4) = 0

Solving
-2xy3 + -36x2y2 + -65x3y + -30x4 + 1y4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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