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

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


Simplifying
X4 + -1x3 + x2 + -3x = 0

Reorder the terms:
X4 + -3x + x2 + -1x3 = 0

Solving
X4 + -3x + x2 + -1x3 = 0

Solving for variable 'X'.

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

Add '3x' to each side of the equation.
X4 + -3x + x2 + 3x + -1x3 = 0 + 3x

Reorder the terms:
X4 + -3x + 3x + x2 + -1x3 = 0 + 3x

Combine like terms: -3x + 3x = 0
X4 + 0 + x2 + -1x3 = 0 + 3x
X4 + x2 + -1x3 = 0 + 3x
Remove the zero:
X4 + x2 + -1x3 = 3x

Add '-1x2' to each side of the equation.
X4 + x2 + -1x2 + -1x3 = 3x + -1x2

Combine like terms: x2 + -1x2 = 0
X4 + 0 + -1x3 = 3x + -1x2
X4 + -1x3 = 3x + -1x2

Add 'x3' to each side of the equation.
X4 + -1x3 + x3 = 3x + -1x2 + x3

Combine like terms: -1x3 + x3 = 0
X4 + 0 = 3x + -1x2 + x3
X4 = 3x + -1x2 + x3

Simplifying
X4 = 3x + -1x2 + x3

Reorder the terms:
X4 + -3x + x2 + -1x3 = 3x + -3x + -1x2 + x2 + x3 + -1x3

Combine like terms: 3x + -3x = 0
X4 + -3x + x2 + -1x3 = 0 + -1x2 + x2 + x3 + -1x3
X4 + -3x + x2 + -1x3 = -1x2 + x2 + x3 + -1x3

Combine like terms: -1x2 + x2 = 0
X4 + -3x + x2 + -1x3 = 0 + x3 + -1x3
X4 + -3x + x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
X4 + -3x + x2 + -1x3 = 0

The solution to this equation could not be determined.

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