X^5-(k+2)x^4+2kx^3+x^2-(k+2)x+2k=

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Solution for X^5-(k+2)x^4+2kx^3+x^2-(k+2)x+2k= equation: 


Simplifying
X5 + -1(k + 2) * x4 + 2kx3 + x2 + -1(k + 2) * x + 2k = 0

Reorder the terms:
X5 + -1(2 + k) * x4 + 2kx3 + x2 + -1(k + 2) * x + 2k = 0

Reorder the terms for easier multiplication:
X5 + -1x4(2 + k) + 2kx3 + x2 + -1(k + 2) * x + 2k = 0
X5 + (2 * -1x4 + k * -1x4) + 2kx3 + x2 + -1(k + 2) * x + 2k = 0

Reorder the terms:
X5 + (-1kx4 + -2x4) + 2kx3 + x2 + -1(k + 2) * x + 2k = 0
X5 + (-1kx4 + -2x4) + 2kx3 + x2 + -1(k + 2) * x + 2k = 0

Reorder the terms:
X5 + -1kx4 + -2x4 + 2kx3 + x2 + -1(2 + k) * x + 2k = 0

Reorder the terms for easier multiplication:
X5 + -1kx4 + -2x4 + 2kx3 + x2 + -1x(2 + k) + 2k = 0
X5 + -1kx4 + -2x4 + 2kx3 + x2 + (2 * -1x + k * -1x) + 2k = 0

Reorder the terms:
X5 + -1kx4 + -2x4 + 2kx3 + x2 + (-1kx + -2x) + 2k = 0
X5 + -1kx4 + -2x4 + 2kx3 + x2 + (-1kx + -2x) + 2k = 0

Reorder the terms:
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 0

Solving
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 0

Solving for variable 'X'.

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

Add '-2k' to each side of the equation.
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2k + -2x4 = 0 + -2k

Reorder the terms:
X5 + 2k + -2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 0 + -2k

Combine like terms: 2k + -2k = 0
X5 + 0 + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 0 + -2k
X5 + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 0 + -2k
Remove the zero:
X5 + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = -2k

Add 'kx' to each side of the equation.
X5 + -1kx + 2kx3 + -1kx4 + -2x + x2 + kx + -2x4 = -2k + kx

Reorder the terms:
X5 + -1kx + kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = -2k + kx

Combine like terms: -1kx + kx = 0
X5 + 0 + 2kx3 + -1kx4 + -2x + x2 + -2x4 = -2k + kx
X5 + 2kx3 + -1kx4 + -2x + x2 + -2x4 = -2k + kx

Add '-2kx3' to each side of the equation.
X5 + 2kx3 + -1kx4 + -2x + x2 + -2kx3 + -2x4 = -2k + kx + -2kx3

Reorder the terms:
X5 + 2kx3 + -2kx3 + -1kx4 + -2x + x2 + -2x4 = -2k + kx + -2kx3

Combine like terms: 2kx3 + -2kx3 = 0
X5 + 0 + -1kx4 + -2x + x2 + -2x4 = -2k + kx + -2kx3
X5 + -1kx4 + -2x + x2 + -2x4 = -2k + kx + -2kx3

Add 'kx4' to each side of the equation.
X5 + -1kx4 + -2x + x2 + kx4 + -2x4 = -2k + kx + -2kx3 + kx4

Reorder the terms:
X5 + -1kx4 + kx4 + -2x + x2 + -2x4 = -2k + kx + -2kx3 + kx4

Combine like terms: -1kx4 + kx4 = 0
X5 + 0 + -2x + x2 + -2x4 = -2k + kx + -2kx3 + kx4
X5 + -2x + x2 + -2x4 = -2k + kx + -2kx3 + kx4

Add '2x' to each side of the equation.
X5 + -2x + x2 + 2x + -2x4 = -2k + kx + -2kx3 + kx4 + 2x

Reorder the terms:
X5 + -2x + 2x + x2 + -2x4 = -2k + kx + -2kx3 + kx4 + 2x

Combine like terms: -2x + 2x = 0
X5 + 0 + x2 + -2x4 = -2k + kx + -2kx3 + kx4 + 2x
X5 + x2 + -2x4 = -2k + kx + -2kx3 + kx4 + 2x

Add '-1x2' to each side of the equation.
X5 + x2 + -1x2 + -2x4 = -2k + kx + -2kx3 + kx4 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
X5 + 0 + -2x4 = -2k + kx + -2kx3 + kx4 + 2x + -1x2
X5 + -2x4 = -2k + kx + -2kx3 + kx4 + 2x + -1x2

Add '2x4' to each side of the equation.
X5 + -2x4 + 2x4 = -2k + kx + -2kx3 + kx4 + 2x + -1x2 + 2x4

Combine like terms: -2x4 + 2x4 = 0
X5 + 0 = -2k + kx + -2kx3 + kx4 + 2x + -1x2 + 2x4
X5 = -2k + kx + -2kx3 + kx4 + 2x + -1x2 + 2x4

Simplifying
X5 = -2k + kx + -2kx3 + kx4 + 2x + -1x2 + 2x4

Reorder the terms:
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = -2k + 2k + kx + -1kx + -2kx3 + 2kx3 + kx4 + -1kx4 + 2x + -2x + -1x2 + x2 + 2x4 + -2x4

Combine like terms: -2k + 2k = 0
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 0 + kx + -1kx + -2kx3 + 2kx3 + kx4 + -1kx4 + 2x + -2x + -1x2 + x2 + 2x4 + -2x4
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = kx + -1kx + -2kx3 + 2kx3 + kx4 + -1kx4 + 2x + -2x + -1x2 + x2 + 2x4 + -2x4

Combine like terms: kx + -1kx = 0
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 0 + -2kx3 + 2kx3 + kx4 + -1kx4 + 2x + -2x + -1x2 + x2 + 2x4 + -2x4
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = -2kx3 + 2kx3 + kx4 + -1kx4 + 2x + -2x + -1x2 + x2 + 2x4 + -2x4

Combine like terms: -2kx3 + 2kx3 = 0
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 0 + kx4 + -1kx4 + 2x + -2x + -1x2 + x2 + 2x4 + -2x4
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = kx4 + -1kx4 + 2x + -2x + -1x2 + x2 + 2x4 + -2x4

Combine like terms: kx4 + -1kx4 = 0
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 0 + 2x + -2x + -1x2 + x2 + 2x4 + -2x4
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 2x + -2x + -1x2 + x2 + 2x4 + -2x4

Combine like terms: 2x + -2x = 0
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 0 + -1x2 + x2 + 2x4 + -2x4
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = -1x2 + x2 + 2x4 + -2x4

Combine like terms: -1x2 + x2 = 0
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 0 + 2x4 + -2x4
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
X5 + 2k + -1kx + 2kx3 + -1kx4 + -2x + x2 + -2x4 = 0

The solution to this equation could not be determined.

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