X^5-x^4-5x^3+x^2+8x+4=p(x)

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Solution for X^5-x^4-5x^3+x^2+8x+4=p(x) equation: 


Simplifying
X5 + -1x4 + -5x3 + x2 + 8x + 4 = p(x)

Reorder the terms:
4 + X5 + 8x + x2 + -5x3 + -1x4 = p(x)

Multiply p * x
4 + X5 + 8x + x2 + -5x3 + -1x4 = px

Solving
4 + X5 + 8x + x2 + -5x3 + -1x4 = px

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + X5 + 8x + x2 + -5x3 + -4 + -1x4 = -4 + px

Reorder the terms:
4 + -4 + X5 + 8x + x2 + -5x3 + -1x4 = -4 + px

Combine like terms: 4 + -4 = 0
0 + X5 + 8x + x2 + -5x3 + -1x4 = -4 + px
X5 + 8x + x2 + -5x3 + -1x4 = -4 + px

Add '-8x' to each side of the equation.
X5 + 8x + x2 + -5x3 + -8x + -1x4 = -4 + px + -8x

Reorder the terms:
X5 + 8x + -8x + x2 + -5x3 + -1x4 = -4 + px + -8x

Combine like terms: 8x + -8x = 0
X5 + 0 + x2 + -5x3 + -1x4 = -4 + px + -8x
X5 + x2 + -5x3 + -1x4 = -4 + px + -8x

Add '-1x2' to each side of the equation.
X5 + x2 + -5x3 + -1x2 + -1x4 = -4 + px + -8x + -1x2

Reorder the terms:
X5 + x2 + -1x2 + -5x3 + -1x4 = -4 + px + -8x + -1x2

Combine like terms: x2 + -1x2 = 0
X5 + 0 + -5x3 + -1x4 = -4 + px + -8x + -1x2
X5 + -5x3 + -1x4 = -4 + px + -8x + -1x2

Add '5x3' to each side of the equation.
X5 + -5x3 + 5x3 + -1x4 = -4 + px + -8x + -1x2 + 5x3

Combine like terms: -5x3 + 5x3 = 0
X5 + 0 + -1x4 = -4 + px + -8x + -1x2 + 5x3
X5 + -1x4 = -4 + px + -8x + -1x2 + 5x3

Add 'x4' to each side of the equation.
X5 + -1x4 + x4 = -4 + px + -8x + -1x2 + 5x3 + x4

Combine like terms: -1x4 + x4 = 0
X5 + 0 = -4 + px + -8x + -1x2 + 5x3 + x4
X5 = -4 + px + -8x + -1x2 + 5x3 + x4

Simplifying
X5 = -4 + px + -8x + -1x2 + 5x3 + x4

Reorder the terms:
4 + X5 + -1px + 8x + x2 + -5x3 + -1x4 = -4 + px + -8x + -1x2 + 5x3 + x4 + 4 + -1px + 8x + x2 + -5x3 + -1x4

Reorder the terms:
4 + X5 + -1px + 8x + x2 + -5x3 + -1x4 = -4 + 4 + px + -1px + -8x + 8x + -1x2 + x2 + 5x3 + -5x3 + x4 + -1x4

Combine like terms: -4 + 4 = 0
4 + X5 + -1px + 8x + x2 + -5x3 + -1x4 = 0 + px + -1px + -8x + 8x + -1x2 + x2 + 5x3 + -5x3 + x4 + -1x4
4 + X5 + -1px + 8x + x2 + -5x3 + -1x4 = px + -1px + -8x + 8x + -1x2 + x2 + 5x3 + -5x3 + x4 + -1x4

Combine like terms: px + -1px = 0
4 + X5 + -1px + 8x + x2 + -5x3 + -1x4 = 0 + -8x + 8x + -1x2 + x2 + 5x3 + -5x3 + x4 + -1x4
4 + X5 + -1px + 8x + x2 + -5x3 + -1x4 = -8x + 8x + -1x2 + x2 + 5x3 + -5x3 + x4 + -1x4

Combine like terms: -8x + 8x = 0
4 + X5 + -1px + 8x + x2 + -5x3 + -1x4 = 0 + -1x2 + x2 + 5x3 + -5x3 + x4 + -1x4
4 + X5 + -1px + 8x + x2 + -5x3 + -1x4 = -1x2 + x2 + 5x3 + -5x3 + x4 + -1x4

Combine like terms: -1x2 + x2 = 0
4 + X5 + -1px + 8x + x2 + -5x3 + -1x4 = 0 + 5x3 + -5x3 + x4 + -1x4
4 + X5 + -1px + 8x + x2 + -5x3 + -1x4 = 5x3 + -5x3 + x4 + -1x4

Combine like terms: 5x3 + -5x3 = 0
4 + X5 + -1px + 8x + x2 + -5x3 + -1x4 = 0 + x4 + -1x4
4 + X5 + -1px + 8x + x2 + -5x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
4 + X5 + -1px + 8x + x2 + -5x3 + -1x4 = 0

The solution to this equation could not be determined.

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