x^2y^1=4x^2+7xy+2y^2

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Solution for x^2y^1=4x^2+7xy+2y^2 equation: 


Simplifying
x2y = 4x2 + 7xy + 2y2

Reorder the terms:
x2y = 7xy + 4x2 + 2y2

Solving
x2y = 7xy + 4x2 + 2y2

Solving for variable 'x'.

Reorder the terms:
-7xy + -4x2 + x2y + -2y2 = 7xy + 4x2 + 2y2 + -7xy + -4x2 + -2y2

Reorder the terms:
-7xy + -4x2 + x2y + -2y2 = 7xy + -7xy + 4x2 + -4x2 + 2y2 + -2y2

Combine like terms: 7xy + -7xy = 0
-7xy + -4x2 + x2y + -2y2 = 0 + 4x2 + -4x2 + 2y2 + -2y2
-7xy + -4x2 + x2y + -2y2 = 4x2 + -4x2 + 2y2 + -2y2

Combine like terms: 4x2 + -4x2 = 0
-7xy + -4x2 + x2y + -2y2 = 0 + 2y2 + -2y2
-7xy + -4x2 + x2y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-7xy + -4x2 + x2y + -2y2 = 0

The solution to this equation could not be determined.

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