X^2+2xy-8y^2=7

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Solution for X^2+2xy-8y^2=7 equation: 


Simplifying
X2 + 2xy + -8y2 = 7

Solving
X2 + 2xy + -8y2 = 7

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-2xy' to each side of the equation.
X2 + 2xy + -2xy + -8y2 = 7 + -2xy

Combine like terms: 2xy + -2xy = 0
X2 + 0 + -8y2 = 7 + -2xy
X2 + -8y2 = 7 + -2xy

Add '8y2' to each side of the equation.
X2 + -8y2 + 8y2 = 7 + -2xy + 8y2

Combine like terms: -8y2 + 8y2 = 0
X2 + 0 = 7 + -2xy + 8y2
X2 = 7 + -2xy + 8y2

Simplifying
X2 = 7 + -2xy + 8y2

Reorder the terms:
-7 + X2 + 2xy + -8y2 = 7 + -2xy + 8y2 + -7 + 2xy + -8y2

Reorder the terms:
-7 + X2 + 2xy + -8y2 = 7 + -7 + -2xy + 2xy + 8y2 + -8y2

Combine like terms: 7 + -7 = 0
-7 + X2 + 2xy + -8y2 = 0 + -2xy + 2xy + 8y2 + -8y2
-7 + X2 + 2xy + -8y2 = -2xy + 2xy + 8y2 + -8y2

Combine like terms: -2xy + 2xy = 0
-7 + X2 + 2xy + -8y2 = 0 + 8y2 + -8y2
-7 + X2 + 2xy + -8y2 = 8y2 + -8y2

Combine like terms: 8y2 + -8y2 = 0
-7 + X2 + 2xy + -8y2 = 0

The solution to this equation could not be determined.

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