X^4-x^3-x^2-x=0

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


Simplifying
X4 + -1x3 + -1x2 + -1x = 0

Reorder the terms:
X4 + -1x + -1x2 + -1x3 = 0

Solving
X4 + -1x + -1x2 + -1x3 = 0

Solving for variable 'X'.

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

Add 'x' to each side of the equation.
X4 + -1x + -1x2 + x + -1x3 = 0 + x

Reorder the terms:
X4 + -1x + x + -1x2 + -1x3 = 0 + x

Combine like terms: -1x + x = 0
X4 + 0 + -1x2 + -1x3 = 0 + x
X4 + -1x2 + -1x3 = 0 + x
Remove the zero:
X4 + -1x2 + -1x3 = x

Add 'x2' to each side of the equation.
X4 + -1x2 + x2 + -1x3 = x + x2

Combine like terms: -1x2 + x2 = 0
X4 + 0 + -1x3 = x + x2
X4 + -1x3 = x + x2

Add 'x3' to each side of the equation.
X4 + -1x3 + x3 = x + x2 + x3

Combine like terms: -1x3 + x3 = 0
X4 + 0 = x + x2 + x3
X4 = x + x2 + x3

Simplifying
X4 = x + x2 + x3

Reorder the terms:
X4 + -1x + -1x2 + -1x3 = x + -1x + x2 + -1x2 + x3 + -1x3

Combine like terms: x + -1x = 0
X4 + -1x + -1x2 + -1x3 = 0 + x2 + -1x2 + x3 + -1x3
X4 + -1x + -1x2 + -1x3 = x2 + -1x2 + x3 + -1x3

Combine like terms: x2 + -1x2 = 0
X4 + -1x + -1x2 + -1x3 = 0 + x3 + -1x3
X4 + -1x + -1x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
X4 + -1x + -1x2 + -1x3 = 0

The solution to this equation could not be determined.

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