X^2-6xy-5y^2+4x-22=0

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Solution for X^2-6xy-5y^2+4x-22=0 equation: 


Simplifying
X2 + -6xy + -5y2 + 4x + -22 = 0

Reorder the terms:
-22 + X2 + 4x + -6xy + -5y2 = 0

Solving
-22 + X2 + 4x + -6xy + -5y2 = 0

Solving for variable 'X'.

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

Add '22' to each side of the equation.
-22 + X2 + 4x + -6xy + 22 + -5y2 = 0 + 22

Reorder the terms:
-22 + 22 + X2 + 4x + -6xy + -5y2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + X2 + 4x + -6xy + -5y2 = 0 + 22
X2 + 4x + -6xy + -5y2 = 0 + 22

Combine like terms: 0 + 22 = 22
X2 + 4x + -6xy + -5y2 = 22

Add '-4x' to each side of the equation.
X2 + 4x + -6xy + -4x + -5y2 = 22 + -4x

Reorder the terms:
X2 + 4x + -4x + -6xy + -5y2 = 22 + -4x

Combine like terms: 4x + -4x = 0
X2 + 0 + -6xy + -5y2 = 22 + -4x
X2 + -6xy + -5y2 = 22 + -4x

Add '6xy' to each side of the equation.
X2 + -6xy + 6xy + -5y2 = 22 + -4x + 6xy

Combine like terms: -6xy + 6xy = 0
X2 + 0 + -5y2 = 22 + -4x + 6xy
X2 + -5y2 = 22 + -4x + 6xy

Add '5y2' to each side of the equation.
X2 + -5y2 + 5y2 = 22 + -4x + 6xy + 5y2

Combine like terms: -5y2 + 5y2 = 0
X2 + 0 = 22 + -4x + 6xy + 5y2
X2 = 22 + -4x + 6xy + 5y2

Simplifying
X2 = 22 + -4x + 6xy + 5y2

Reorder the terms:
-22 + X2 + 4x + -6xy + -5y2 = 22 + -4x + 6xy + 5y2 + -22 + 4x + -6xy + -5y2

Reorder the terms:
-22 + X2 + 4x + -6xy + -5y2 = 22 + -22 + -4x + 4x + 6xy + -6xy + 5y2 + -5y2

Combine like terms: 22 + -22 = 0
-22 + X2 + 4x + -6xy + -5y2 = 0 + -4x + 4x + 6xy + -6xy + 5y2 + -5y2
-22 + X2 + 4x + -6xy + -5y2 = -4x + 4x + 6xy + -6xy + 5y2 + -5y2

Combine like terms: -4x + 4x = 0
-22 + X2 + 4x + -6xy + -5y2 = 0 + 6xy + -6xy + 5y2 + -5y2
-22 + X2 + 4x + -6xy + -5y2 = 6xy + -6xy + 5y2 + -5y2

Combine like terms: 6xy + -6xy = 0
-22 + X2 + 4x + -6xy + -5y2 = 0 + 5y2 + -5y2
-22 + X2 + 4x + -6xy + -5y2 = 5y2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
-22 + X2 + 4x + -6xy + -5y2 = 0

The solution to this equation could not be determined.

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