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

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


Simplifying
X4 + 4x3 + 3x2 + 4x + -1 = 0

Reorder the terms:
-1 + X4 + 4x + 3x2 + 4x3 = 0

Solving
-1 + X4 + 4x + 3x2 + 4x3 = 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 + 4x + 3x2 + 1 + 4x3 = 0 + 1

Reorder the terms:
-1 + 1 + X4 + 4x + 3x2 + 4x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + X4 + 4x + 3x2 + 4x3 = 0 + 1
X4 + 4x + 3x2 + 4x3 = 0 + 1

Combine like terms: 0 + 1 = 1
X4 + 4x + 3x2 + 4x3 = 1

Add '-4x' to each side of the equation.
X4 + 4x + 3x2 + -4x + 4x3 = 1 + -4x

Reorder the terms:
X4 + 4x + -4x + 3x2 + 4x3 = 1 + -4x

Combine like terms: 4x + -4x = 0
X4 + 0 + 3x2 + 4x3 = 1 + -4x
X4 + 3x2 + 4x3 = 1 + -4x

Add '-3x2' to each side of the equation.
X4 + 3x2 + -3x2 + 4x3 = 1 + -4x + -3x2

Combine like terms: 3x2 + -3x2 = 0
X4 + 0 + 4x3 = 1 + -4x + -3x2
X4 + 4x3 = 1 + -4x + -3x2

Add '-4x3' to each side of the equation.
X4 + 4x3 + -4x3 = 1 + -4x + -3x2 + -4x3

Combine like terms: 4x3 + -4x3 = 0
X4 + 0 = 1 + -4x + -3x2 + -4x3
X4 = 1 + -4x + -3x2 + -4x3

Simplifying
X4 = 1 + -4x + -3x2 + -4x3

Reorder the terms:
-1 + X4 + 4x + 3x2 + 4x3 = 1 + -4x + -3x2 + -4x3 + -1 + 4x + 3x2 + 4x3

Reorder the terms:
-1 + X4 + 4x + 3x2 + 4x3 = 1 + -1 + -4x + 4x + -3x2 + 3x2 + -4x3 + 4x3

Combine like terms: 1 + -1 = 0
-1 + X4 + 4x + 3x2 + 4x3 = 0 + -4x + 4x + -3x2 + 3x2 + -4x3 + 4x3
-1 + X4 + 4x + 3x2 + 4x3 = -4x + 4x + -3x2 + 3x2 + -4x3 + 4x3

Combine like terms: -4x + 4x = 0
-1 + X4 + 4x + 3x2 + 4x3 = 0 + -3x2 + 3x2 + -4x3 + 4x3
-1 + X4 + 4x + 3x2 + 4x3 = -3x2 + 3x2 + -4x3 + 4x3

Combine like terms: -3x2 + 3x2 = 0
-1 + X4 + 4x + 3x2 + 4x3 = 0 + -4x3 + 4x3
-1 + X4 + 4x + 3x2 + 4x3 = -4x3 + 4x3

Combine like terms: -4x3 + 4x3 = 0
-1 + X4 + 4x + 3x2 + 4x3 = 0

The solution to this equation could not be determined.

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