X^2+4xy-3y^2=5

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Solution for X^2+4xy-3y^2=5 equation:


Simplifying
X2 + 4xy + -3y2 = 5

Solving
X2 + 4xy + -3y2 = 5

Solving for variable 'X'.

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

Add '-4xy' to each side of the equation.
X2 + 4xy + -4xy + -3y2 = 5 + -4xy

Combine like terms: 4xy + -4xy = 0
X2 + 0 + -3y2 = 5 + -4xy
X2 + -3y2 = 5 + -4xy

Add '3y2' to each side of the equation.
X2 + -3y2 + 3y2 = 5 + -4xy + 3y2

Combine like terms: -3y2 + 3y2 = 0
X2 + 0 = 5 + -4xy + 3y2
X2 = 5 + -4xy + 3y2

Simplifying
X2 = 5 + -4xy + 3y2

Reorder the terms:
-5 + X2 + 4xy + -3y2 = 5 + -4xy + 3y2 + -5 + 4xy + -3y2

Reorder the terms:
-5 + X2 + 4xy + -3y2 = 5 + -5 + -4xy + 4xy + 3y2 + -3y2

Combine like terms: 5 + -5 = 0
-5 + X2 + 4xy + -3y2 = 0 + -4xy + 4xy + 3y2 + -3y2
-5 + X2 + 4xy + -3y2 = -4xy + 4xy + 3y2 + -3y2

Combine like terms: -4xy + 4xy = 0
-5 + X2 + 4xy + -3y2 = 0 + 3y2 + -3y2
-5 + X2 + 4xy + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-5 + X2 + 4xy + -3y2 = 0

The solution to this equation could not be determined.

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