X^5+2x^3-x^2+x-1=0

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Solution for X^5+2x^3-x^2+x-1=0 equation:


Simplifying
X5 + 2x3 + -1x2 + x + -1 = 0

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

Solving
-1 + X5 + x + -1x2 + 2x3 = 0

Solving for variable 'X'.

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

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

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

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

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

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

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

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

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

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

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

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

Simplifying
X5 = 1 + -1x + x2 + -2x3

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

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

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

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

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

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

The solution to this equation could not be determined.

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