x^2-5y^2-4x+4y-6=-6y^2-6y+10x-64

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Solution for x^2-5y^2-4x+4y-6=-6y^2-6y+10x-64 equation: 


Simplifying
x2 + -5y2 + -4x + 4y + -6 = -6y2 + -6y + 10x + -64

Reorder the terms:
-6 + -4x + x2 + 4y + -5y2 = -6y2 + -6y + 10x + -64

Reorder the terms:
-6 + -4x + x2 + 4y + -5y2 = -64 + 10x + -6y + -6y2

Solving
-6 + -4x + x2 + 4y + -5y2 = -64 + 10x + -6y + -6y2

Solving for variable 'x'.

Reorder the terms:
-6 + 64 + -4x + -10x + x2 + 4y + 6y + -5y2 + 6y2 = -64 + 10x + -6y + -6y2 + 64 + -10x + 6y + 6y2

Combine like terms: -6 + 64 = 58
58 + -4x + -10x + x2 + 4y + 6y + -5y2 + 6y2 = -64 + 10x + -6y + -6y2 + 64 + -10x + 6y + 6y2

Combine like terms: -4x + -10x = -14x
58 + -14x + x2 + 4y + 6y + -5y2 + 6y2 = -64 + 10x + -6y + -6y2 + 64 + -10x + 6y + 6y2

Combine like terms: 4y + 6y = 10y
58 + -14x + x2 + 10y + -5y2 + 6y2 = -64 + 10x + -6y + -6y2 + 64 + -10x + 6y + 6y2

Combine like terms: -5y2 + 6y2 = 1y2
58 + -14x + x2 + 10y + 1y2 = -64 + 10x + -6y + -6y2 + 64 + -10x + 6y + 6y2

Reorder the terms:
58 + -14x + x2 + 10y + 1y2 = -64 + 64 + 10x + -10x + -6y + 6y + -6y2 + 6y2

Combine like terms: -64 + 64 = 0
58 + -14x + x2 + 10y + 1y2 = 0 + 10x + -10x + -6y + 6y + -6y2 + 6y2
58 + -14x + x2 + 10y + 1y2 = 10x + -10x + -6y + 6y + -6y2 + 6y2

Combine like terms: 10x + -10x = 0
58 + -14x + x2 + 10y + 1y2 = 0 + -6y + 6y + -6y2 + 6y2
58 + -14x + x2 + 10y + 1y2 = -6y + 6y + -6y2 + 6y2

Combine like terms: -6y + 6y = 0
58 + -14x + x2 + 10y + 1y2 = 0 + -6y2 + 6y2
58 + -14x + x2 + 10y + 1y2 = -6y2 + 6y2

Combine like terms: -6y2 + 6y2 = 0
58 + -14x + x2 + 10y + 1y2 = 0

The solution to this equation could not be determined.

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