2x^2+xy-y^2-11x-5y+k=0

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Solution for 2x^2+xy-y^2-11x-5y+k=0 equation: 


Simplifying
2x2 + xy + -1y2 + -11x + -5y + k = 0

Reorder the terms:
k + -11x + xy + 2x2 + -5y + -1y2 = 0

Solving
k + -11x + xy + 2x2 + -5y + -1y2 = 0

Solving for variable 'k'.

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

Add '11x' to each side of the equation.
k + -11x + xy + 2x2 + -5y + 11x + -1y2 = 0 + 11x

Reorder the terms:
k + -11x + 11x + xy + 2x2 + -5y + -1y2 = 0 + 11x

Combine like terms: -11x + 11x = 0
k + 0 + xy + 2x2 + -5y + -1y2 = 0 + 11x
k + xy + 2x2 + -5y + -1y2 = 0 + 11x
Remove the zero:
k + xy + 2x2 + -5y + -1y2 = 11x

Add '-1xy' to each side of the equation.
k + xy + 2x2 + -5y + -1xy + -1y2 = 11x + -1xy

Reorder the terms:
k + xy + -1xy + 2x2 + -5y + -1y2 = 11x + -1xy

Combine like terms: xy + -1xy = 0
k + 0 + 2x2 + -5y + -1y2 = 11x + -1xy
k + 2x2 + -5y + -1y2 = 11x + -1xy

Add '-2x2' to each side of the equation.
k + 2x2 + -5y + -2x2 + -1y2 = 11x + -1xy + -2x2

Reorder the terms:
k + 2x2 + -2x2 + -5y + -1y2 = 11x + -1xy + -2x2

Combine like terms: 2x2 + -2x2 = 0
k + 0 + -5y + -1y2 = 11x + -1xy + -2x2
k + -5y + -1y2 = 11x + -1xy + -2x2

Add '5y' to each side of the equation.
k + -5y + 5y + -1y2 = 11x + -1xy + -2x2 + 5y

Combine like terms: -5y + 5y = 0
k + 0 + -1y2 = 11x + -1xy + -2x2 + 5y
k + -1y2 = 11x + -1xy + -2x2 + 5y

Add 'y2' to each side of the equation.
k + -1y2 + y2 = 11x + -1xy + -2x2 + 5y + y2

Combine like terms: -1y2 + y2 = 0
k + 0 = 11x + -1xy + -2x2 + 5y + y2
k = 11x + -1xy + -2x2 + 5y + y2

Simplifying
k = 11x + -1xy + -2x2 + 5y + y2

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