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

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


Simplifying
X4 + -5x3 + 3x2 + x = 0

Reorder the terms:
X4 + x + 3x2 + -5x3 = 0

Solving
X4 + x + 3x2 + -5x3 = 0

Solving for variable 'X'.

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

Add '-1x' to each side of the equation.
X4 + x + 3x2 + -1x + -5x3 = 0 + -1x

Reorder the terms:
X4 + x + -1x + 3x2 + -5x3 = 0 + -1x

Combine like terms: x + -1x = 0
X4 + 0 + 3x2 + -5x3 = 0 + -1x
X4 + 3x2 + -5x3 = 0 + -1x
Remove the zero:
X4 + 3x2 + -5x3 = -1x

Add '-3x2' to each side of the equation.
X4 + 3x2 + -3x2 + -5x3 = -1x + -3x2

Combine like terms: 3x2 + -3x2 = 0
X4 + 0 + -5x3 = -1x + -3x2
X4 + -5x3 = -1x + -3x2

Add '5x3' to each side of the equation.
X4 + -5x3 + 5x3 = -1x + -3x2 + 5x3

Combine like terms: -5x3 + 5x3 = 0
X4 + 0 = -1x + -3x2 + 5x3
X4 = -1x + -3x2 + 5x3

Simplifying
X4 = -1x + -3x2 + 5x3

Reorder the terms:
X4 + x + 3x2 + -5x3 = -1x + x + -3x2 + 3x2 + 5x3 + -5x3

Combine like terms: -1x + x = 0
X4 + x + 3x2 + -5x3 = 0 + -3x2 + 3x2 + 5x3 + -5x3
X4 + x + 3x2 + -5x3 = -3x2 + 3x2 + 5x3 + -5x3

Combine like terms: -3x2 + 3x2 = 0
X4 + x + 3x2 + -5x3 = 0 + 5x3 + -5x3
X4 + x + 3x2 + -5x3 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
X4 + x + 3x2 + -5x3 = 0

The solution to this equation could not be determined.

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