10x^2-9xy+2y^2-27=14x-6y-33

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Solution for 10x^2-9xy+2y^2-27=14x-6y-33 equation: 


Simplifying
10x2 + -9xy + 2y2 + -27 = 14x + -6y + -33

Reorder the terms:
-27 + -9xy + 10x2 + 2y2 = 14x + -6y + -33

Reorder the terms:
-27 + -9xy + 10x2 + 2y2 = -33 + 14x + -6y

Solving
-27 + -9xy + 10x2 + 2y2 = -33 + 14x + -6y

Solving for variable 'x'.

Reorder the terms:
-27 + 33 + -14x + -9xy + 10x2 + 6y + 2y2 = -33 + 14x + -6y + 33 + -14x + 6y

Combine like terms: -27 + 33 = 6
6 + -14x + -9xy + 10x2 + 6y + 2y2 = -33 + 14x + -6y + 33 + -14x + 6y

Reorder the terms:
6 + -14x + -9xy + 10x2 + 6y + 2y2 = -33 + 33 + 14x + -14x + -6y + 6y

Combine like terms: -33 + 33 = 0
6 + -14x + -9xy + 10x2 + 6y + 2y2 = 0 + 14x + -14x + -6y + 6y
6 + -14x + -9xy + 10x2 + 6y + 2y2 = 14x + -14x + -6y + 6y

Combine like terms: 14x + -14x = 0
6 + -14x + -9xy + 10x2 + 6y + 2y2 = 0 + -6y + 6y
6 + -14x + -9xy + 10x2 + 6y + 2y2 = -6y + 6y

Combine like terms: -6y + 6y = 0
6 + -14x + -9xy + 10x2 + 6y + 2y2 = 0

The solution to this equation could not be determined.

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