X^4-3x^3+6x^2+3x+1=0

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Solution for X^4-3x^3+6x^2+3x+1=0 equation: 


Simplifying
X4 + -3x3 + 6x2 + 3x + 1 = 0

Reorder the terms:
1 + X4 + 3x + 6x2 + -3x3 = 0

Solving
1 + X4 + 3x + 6x2 + -3x3 = 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 + X4 + 3x + 6x2 + -1 + -3x3 = 0 + -1

Reorder the terms:
1 + -1 + X4 + 3x + 6x2 + -3x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + X4 + 3x + 6x2 + -3x3 = 0 + -1
X4 + 3x + 6x2 + -3x3 = 0 + -1

Combine like terms: 0 + -1 = -1
X4 + 3x + 6x2 + -3x3 = -1

Add '-3x' to each side of the equation.
X4 + 3x + 6x2 + -3x + -3x3 = -1 + -3x

Reorder the terms:
X4 + 3x + -3x + 6x2 + -3x3 = -1 + -3x

Combine like terms: 3x + -3x = 0
X4 + 0 + 6x2 + -3x3 = -1 + -3x
X4 + 6x2 + -3x3 = -1 + -3x

Add '-6x2' to each side of the equation.
X4 + 6x2 + -6x2 + -3x3 = -1 + -3x + -6x2

Combine like terms: 6x2 + -6x2 = 0
X4 + 0 + -3x3 = -1 + -3x + -6x2
X4 + -3x3 = -1 + -3x + -6x2

Add '3x3' to each side of the equation.
X4 + -3x3 + 3x3 = -1 + -3x + -6x2 + 3x3

Combine like terms: -3x3 + 3x3 = 0
X4 + 0 = -1 + -3x + -6x2 + 3x3
X4 = -1 + -3x + -6x2 + 3x3

Simplifying
X4 = -1 + -3x + -6x2 + 3x3

Reorder the terms:
1 + X4 + 3x + 6x2 + -3x3 = -1 + -3x + -6x2 + 3x3 + 1 + 3x + 6x2 + -3x3

Reorder the terms:
1 + X4 + 3x + 6x2 + -3x3 = -1 + 1 + -3x + 3x + -6x2 + 6x2 + 3x3 + -3x3

Combine like terms: -1 + 1 = 0
1 + X4 + 3x + 6x2 + -3x3 = 0 + -3x + 3x + -6x2 + 6x2 + 3x3 + -3x3
1 + X4 + 3x + 6x2 + -3x3 = -3x + 3x + -6x2 + 6x2 + 3x3 + -3x3

Combine like terms: -3x + 3x = 0
1 + X4 + 3x + 6x2 + -3x3 = 0 + -6x2 + 6x2 + 3x3 + -3x3
1 + X4 + 3x + 6x2 + -3x3 = -6x2 + 6x2 + 3x3 + -3x3

Combine like terms: -6x2 + 6x2 = 0
1 + X4 + 3x + 6x2 + -3x3 = 0 + 3x3 + -3x3
1 + X4 + 3x + 6x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
1 + X4 + 3x + 6x2 + -3x3 = 0

The solution to this equation could not be determined.

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