X^2-xy-2y^2=18

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Solution for X^2-xy-2y^2=18 equation:


Simplifying
X2 + -1xy + -2y2 = 18

Solving
X2 + -1xy + -2y2 = 18

Solving for variable 'X'.

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

Add 'xy' to each side of the equation.
X2 + -1xy + xy + -2y2 = 18 + xy

Combine like terms: -1xy + xy = 0
X2 + 0 + -2y2 = 18 + xy
X2 + -2y2 = 18 + xy

Add '2y2' to each side of the equation.
X2 + -2y2 + 2y2 = 18 + xy + 2y2

Combine like terms: -2y2 + 2y2 = 0
X2 + 0 = 18 + xy + 2y2
X2 = 18 + xy + 2y2

Simplifying
X2 = 18 + xy + 2y2

Reorder the terms:
-18 + X2 + -1xy + -2y2 = 18 + xy + 2y2 + -18 + -1xy + -2y2

Reorder the terms:
-18 + X2 + -1xy + -2y2 = 18 + -18 + xy + -1xy + 2y2 + -2y2

Combine like terms: 18 + -18 = 0
-18 + X2 + -1xy + -2y2 = 0 + xy + -1xy + 2y2 + -2y2
-18 + X2 + -1xy + -2y2 = xy + -1xy + 2y2 + -2y2

Combine like terms: xy + -1xy = 0
-18 + X2 + -1xy + -2y2 = 0 + 2y2 + -2y2
-18 + X2 + -1xy + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-18 + X2 + -1xy + -2y2 = 0

The solution to this equation could not be determined.

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