X^5-x^4+2x^3-4x^2-8x=0

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Solution for X^5-x^4+2x^3-4x^2-8x=0 equation: 


Simplifying
X5 + -1x4 + 2x3 + -4x2 + -8x = 0

Reorder the terms:
X5 + -8x + -4x2 + 2x3 + -1x4 = 0

Solving
X5 + -8x + -4x2 + 2x3 + -1x4 = 0

Solving for variable 'X'.

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

Add '8x' to each side of the equation.
X5 + -8x + -4x2 + 2x3 + 8x + -1x4 = 0 + 8x

Reorder the terms:
X5 + -8x + 8x + -4x2 + 2x3 + -1x4 = 0 + 8x

Combine like terms: -8x + 8x = 0
X5 + 0 + -4x2 + 2x3 + -1x4 = 0 + 8x
X5 + -4x2 + 2x3 + -1x4 = 0 + 8x
Remove the zero:
X5 + -4x2 + 2x3 + -1x4 = 8x

Add '4x2' to each side of the equation.
X5 + -4x2 + 2x3 + 4x2 + -1x4 = 8x + 4x2

Reorder the terms:
X5 + -4x2 + 4x2 + 2x3 + -1x4 = 8x + 4x2

Combine like terms: -4x2 + 4x2 = 0
X5 + 0 + 2x3 + -1x4 = 8x + 4x2
X5 + 2x3 + -1x4 = 8x + 4x2

Add '-2x3' to each side of the equation.
X5 + 2x3 + -2x3 + -1x4 = 8x + 4x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
X5 + 0 + -1x4 = 8x + 4x2 + -2x3
X5 + -1x4 = 8x + 4x2 + -2x3

Add 'x4' to each side of the equation.
X5 + -1x4 + x4 = 8x + 4x2 + -2x3 + x4

Combine like terms: -1x4 + x4 = 0
X5 + 0 = 8x + 4x2 + -2x3 + x4
X5 = 8x + 4x2 + -2x3 + x4

Simplifying
X5 = 8x + 4x2 + -2x3 + x4

Reorder the terms:
X5 + -8x + -4x2 + 2x3 + -1x4 = 8x + -8x + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4

Combine like terms: 8x + -8x = 0
X5 + -8x + -4x2 + 2x3 + -1x4 = 0 + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4
X5 + -8x + -4x2 + 2x3 + -1x4 = 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4

Combine like terms: 4x2 + -4x2 = 0
X5 + -8x + -4x2 + 2x3 + -1x4 = 0 + -2x3 + 2x3 + x4 + -1x4
X5 + -8x + -4x2 + 2x3 + -1x4 = -2x3 + 2x3 + x4 + -1x4

Combine like terms: -2x3 + 2x3 = 0
X5 + -8x + -4x2 + 2x3 + -1x4 = 0 + x4 + -1x4
X5 + -8x + -4x2 + 2x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
X5 + -8x + -4x2 + 2x3 + -1x4 = 0

The solution to this equation could not be determined.

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