x^2+y^2+(k-2)x-2ky-5=0

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Solution for x^2+y^2+(k-2)x-2ky-5=0 equation: 


Simplifying
x2 + y2 + (k + -2) * x + -2ky + -5 = 0

Reorder the terms:
x2 + y2 + (-2 + k) * x + -2ky + -5 = 0

Reorder the terms for easier multiplication:
x2 + y2 + x(-2 + k) + -2ky + -5 = 0
x2 + y2 + (-2 * x + k * x) + -2ky + -5 = 0

Reorder the terms:
x2 + y2 + (kx + -2x) + -2ky + -5 = 0
x2 + y2 + (kx + -2x) + -2ky + -5 = 0

Reorder the terms:
-5 + kx + -2ky + -2x + x2 + y2 = 0

Solving
-5 + kx + -2ky + -2x + x2 + y2 = 0

Solving for variable 'k'.

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

Add '5' to each side of the equation.
-5 + kx + -2ky + -2x + x2 + 5 + y2 = 0 + 5

Reorder the terms:
-5 + 5 + kx + -2ky + -2x + x2 + y2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + kx + -2ky + -2x + x2 + y2 = 0 + 5
kx + -2ky + -2x + x2 + y2 = 0 + 5

Combine like terms: 0 + 5 = 5
kx + -2ky + -2x + x2 + y2 = 5

Add '2x' to each side of the equation.
kx + -2ky + -2x + x2 + 2x + y2 = 5 + 2x

Reorder the terms:
kx + -2ky + -2x + 2x + x2 + y2 = 5 + 2x

Combine like terms: -2x + 2x = 0
kx + -2ky + 0 + x2 + y2 = 5 + 2x
kx + -2ky + x2 + y2 = 5 + 2x

Add '-1x2' to each side of the equation.
kx + -2ky + x2 + -1x2 + y2 = 5 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
kx + -2ky + 0 + y2 = 5 + 2x + -1x2
kx + -2ky + y2 = 5 + 2x + -1x2

Add '-1y2' to each side of the equation.
kx + -2ky + y2 + -1y2 = 5 + 2x + -1x2 + -1y2

Combine like terms: y2 + -1y2 = 0
kx + -2ky + 0 = 5 + 2x + -1x2 + -1y2
kx + -2ky = 5 + 2x + -1x2 + -1y2

Reorder the terms:
-5 + kx + -2ky + -2x + x2 + y2 = 5 + 2x + -1x2 + -1y2 + -5 + -2x + x2 + y2

Reorder the terms:
-5 + kx + -2ky + -2x + x2 + y2 = 5 + -5 + 2x + -2x + -1x2 + x2 + -1y2 + y2

Combine like terms: 5 + -5 = 0
-5 + kx + -2ky + -2x + x2 + y2 = 0 + 2x + -2x + -1x2 + x2 + -1y2 + y2
-5 + kx + -2ky + -2x + x2 + y2 = 2x + -2x + -1x2 + x2 + -1y2 + y2

Combine like terms: 2x + -2x = 0
-5 + kx + -2ky + -2x + x2 + y2 = 0 + -1x2 + x2 + -1y2 + y2
-5 + kx + -2ky + -2x + x2 + y2 = -1x2 + x2 + -1y2 + y2

Combine like terms: -1x2 + x2 = 0
-5 + kx + -2ky + -2x + x2 + y2 = 0 + -1y2 + y2
-5 + kx + -2ky + -2x + x2 + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-5 + kx + -2ky + -2x + x2 + y2 = 0

The solution to this equation could not be determined.

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