(K-8)x^2+(2-k)y^2+6x+6y+(k-5)=0

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Solution for (K-8)x^2+(2-k)y^2+6x+6y+(k-5)=0 equation: 


Simplifying
(K + -8) * x2 + (2 + -1k) * y2 + 6x + 6y + (k + -5) = 0

Reorder the terms:
(-8 + K) * x2 + (2 + -1k) * y2 + 6x + 6y + (k + -5) = 0

Reorder the terms for easier multiplication:
x2(-8 + K) + (2 + -1k) * y2 + 6x + 6y + (k + -5) = 0
(-8 * x2 + K * x2) + (2 + -1k) * y2 + 6x + 6y + (k + -5) = 0
(-8x2 + x2K) + (2 + -1k) * y2 + 6x + 6y + (k + -5) = 0

Reorder the terms for easier multiplication:
-8x2 + x2K + y2(2 + -1k) + 6x + 6y + (k + -5) = 0
-8x2 + x2K + (2 * y2 + -1k * y2) + 6x + 6y + (k + -5) = 0

Reorder the terms:
-8x2 + x2K + (-1ky2 + 2y2) + 6x + 6y + (k + -5) = 0
-8x2 + x2K + (-1ky2 + 2y2) + 6x + 6y + (k + -5) = 0

Reorder the terms:
-8x2 + x2K + -1ky2 + 2y2 + 6x + 6y + (-5 + k) = 0

Remove parenthesis around (-5 + k)
-8x2 + x2K + -1ky2 + 2y2 + 6x + 6y + -5 + k = 0

Reorder the terms:
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 0

Solving
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 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 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 5 + 2y2 = 0 + 5

Reorder the terms:
-5 + 5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 0 + 5
k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 0 + 5

Combine like terms: 0 + 5 = 5
k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 5

Add '-6x' to each side of the equation.
k + -1ky2 + 6x + -8x2 + x2K + 6y + -6x + 2y2 = 5 + -6x

Reorder the terms:
k + -1ky2 + 6x + -6x + -8x2 + x2K + 6y + 2y2 = 5 + -6x

Combine like terms: 6x + -6x = 0
k + -1ky2 + 0 + -8x2 + x2K + 6y + 2y2 = 5 + -6x
k + -1ky2 + -8x2 + x2K + 6y + 2y2 = 5 + -6x

Add '8x2' to each side of the equation.
k + -1ky2 + -8x2 + x2K + 6y + 8x2 + 2y2 = 5 + -6x + 8x2

Reorder the terms:
k + -1ky2 + -8x2 + 8x2 + x2K + 6y + 2y2 = 5 + -6x + 8x2

Combine like terms: -8x2 + 8x2 = 0
k + -1ky2 + 0 + x2K + 6y + 2y2 = 5 + -6x + 8x2
k + -1ky2 + x2K + 6y + 2y2 = 5 + -6x + 8x2

Add '-1x2K' to each side of the equation.
k + -1ky2 + x2K + 6y + -1x2K + 2y2 = 5 + -6x + 8x2 + -1x2K

Reorder the terms:
k + -1ky2 + x2K + -1x2K + 6y + 2y2 = 5 + -6x + 8x2 + -1x2K

Combine like terms: x2K + -1x2K = 0
k + -1ky2 + 0 + 6y + 2y2 = 5 + -6x + 8x2 + -1x2K
k + -1ky2 + 6y + 2y2 = 5 + -6x + 8x2 + -1x2K

Add '-6y' to each side of the equation.
k + -1ky2 + 6y + -6y + 2y2 = 5 + -6x + 8x2 + -1x2K + -6y

Combine like terms: 6y + -6y = 0
k + -1ky2 + 0 + 2y2 = 5 + -6x + 8x2 + -1x2K + -6y
k + -1ky2 + 2y2 = 5 + -6x + 8x2 + -1x2K + -6y

Add '-2y2' to each side of the equation.
k + -1ky2 + 2y2 + -2y2 = 5 + -6x + 8x2 + -1x2K + -6y + -2y2

Combine like terms: 2y2 + -2y2 = 0
k + -1ky2 + 0 = 5 + -6x + 8x2 + -1x2K + -6y + -2y2
k + -1ky2 = 5 + -6x + 8x2 + -1x2K + -6y + -2y2

Reorder the terms:
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 5 + -6x + 8x2 + -1x2K + -6y + -2y2 + -5 + 6x + -8x2 + x2K + 6y + 2y2

Reorder the terms:
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 5 + -5 + -6x + 6x + 8x2 + -8x2 + -1x2K + x2K + -6y + 6y + -2y2 + 2y2

Combine like terms: 5 + -5 = 0
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 0 + -6x + 6x + 8x2 + -8x2 + -1x2K + x2K + -6y + 6y + -2y2 + 2y2
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = -6x + 6x + 8x2 + -8x2 + -1x2K + x2K + -6y + 6y + -2y2 + 2y2

Combine like terms: -6x + 6x = 0
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 0 + 8x2 + -8x2 + -1x2K + x2K + -6y + 6y + -2y2 + 2y2
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 8x2 + -8x2 + -1x2K + x2K + -6y + 6y + -2y2 + 2y2

Combine like terms: 8x2 + -8x2 = 0
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 0 + -1x2K + x2K + -6y + 6y + -2y2 + 2y2
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = -1x2K + x2K + -6y + 6y + -2y2 + 2y2

Combine like terms: -1x2K + x2K = 0
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 0 + -6y + 6y + -2y2 + 2y2
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = -6y + 6y + -2y2 + 2y2

Combine like terms: -6y + 6y = 0
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 0 + -2y2 + 2y2
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-5 + k + -1ky2 + 6x + -8x2 + x2K + 6y + 2y2 = 0

The solution to this equation could not be determined.

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