x^2-2(K-1)x+K+5=0

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Solution for x^2-2(K-1)x+K+5=0 equation: 


Simplifying
x2 + -2(K + -1) * x + K + 5 = 0

Reorder the terms:
x2 + -2(-1 + K) * x + K + 5 = 0

Reorder the terms for easier multiplication:
x2 + -2x(-1 + K) + K + 5 = 0
x2 + (-1 * -2x + K * -2x) + K + 5 = 0
x2 + (2x + -2xK) + K + 5 = 0

Reorder the terms:
5 + K + 2x + -2xK + x2 = 0

Solving
5 + K + 2x + -2xK + x2 = 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 + 2x + -2xK + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + K + 2x + -2xK + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + K + 2x + -2xK + x2 = 0 + -5
K + 2x + -2xK + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
K + 2x + -2xK + x2 = -5

Add '-2x' to each side of the equation.
K + 2x + -2xK + -2x + x2 = -5 + -2x

Reorder the terms:
K + 2x + -2x + -2xK + x2 = -5 + -2x

Combine like terms: 2x + -2x = 0
K + 0 + -2xK + x2 = -5 + -2x
K + -2xK + x2 = -5 + -2x

Add '-1x2' to each side of the equation.
K + -2xK + x2 + -1x2 = -5 + -2x + -1x2

Combine like terms: x2 + -1x2 = 0
K + -2xK + 0 = -5 + -2x + -1x2
K + -2xK = -5 + -2x + -1x2

Reorder the terms:
5 + K + 2x + -2xK + x2 = -5 + -2x + -1x2 + 5 + 2x + x2

Reorder the terms:
5 + K + 2x + -2xK + x2 = -5 + 5 + -2x + 2x + -1x2 + x2

Combine like terms: -5 + 5 = 0
5 + K + 2x + -2xK + x2 = 0 + -2x + 2x + -1x2 + x2
5 + K + 2x + -2xK + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
5 + K + 2x + -2xK + x2 = 0 + -1x2 + x2
5 + K + 2x + -2xK + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + K + 2x + -2xK + x2 = 0

The solution to this equation could not be determined.

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