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

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


Simplifying
4X4 + 3x3 + -2x2 + -3x + 4 = 0

Reorder the terms:
4 + 4X4 + -3x + -2x2 + 3x3 = 0

Solving
4 + 4X4 + -3x + -2x2 + 3x3 = 0

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + 4X4 + -3x + -2x2 + -4 + 3x3 = 0 + -4

Reorder the terms:
4 + -4 + 4X4 + -3x + -2x2 + 3x3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 4X4 + -3x + -2x2 + 3x3 = 0 + -4
4X4 + -3x + -2x2 + 3x3 = 0 + -4

Combine like terms: 0 + -4 = -4
4X4 + -3x + -2x2 + 3x3 = -4

Add '3x' to each side of the equation.
4X4 + -3x + -2x2 + 3x + 3x3 = -4 + 3x

Reorder the terms:
4X4 + -3x + 3x + -2x2 + 3x3 = -4 + 3x

Combine like terms: -3x + 3x = 0
4X4 + 0 + -2x2 + 3x3 = -4 + 3x
4X4 + -2x2 + 3x3 = -4 + 3x

Add '2x2' to each side of the equation.
4X4 + -2x2 + 2x2 + 3x3 = -4 + 3x + 2x2

Combine like terms: -2x2 + 2x2 = 0
4X4 + 0 + 3x3 = -4 + 3x + 2x2
4X4 + 3x3 = -4 + 3x + 2x2

Add '-3x3' to each side of the equation.
4X4 + 3x3 + -3x3 = -4 + 3x + 2x2 + -3x3

Combine like terms: 3x3 + -3x3 = 0
4X4 + 0 = -4 + 3x + 2x2 + -3x3
4X4 = -4 + 3x + 2x2 + -3x3

Divide each side by '4'.
X4 = -1 + 0.75x + 0.5x2 + -0.75x3

Simplifying
X4 = -1 + 0.75x + 0.5x2 + -0.75x3

Reorder the terms:
1 + X4 + -0.75x + -0.5x2 + 0.75x3 = -1 + 0.75x + 0.5x2 + -0.75x3 + 1 + -0.75x + -0.5x2 + 0.75x3

Reorder the terms:
1 + X4 + -0.75x + -0.5x2 + 0.75x3 = -1 + 1 + 0.75x + -0.75x + 0.5x2 + -0.5x2 + -0.75x3 + 0.75x3

Combine like terms: -1 + 1 = 0
1 + X4 + -0.75x + -0.5x2 + 0.75x3 = 0 + 0.75x + -0.75x + 0.5x2 + -0.5x2 + -0.75x3 + 0.75x3
1 + X4 + -0.75x + -0.5x2 + 0.75x3 = 0.75x + -0.75x + 0.5x2 + -0.5x2 + -0.75x3 + 0.75x3

Combine like terms: 0.75x + -0.75x = 0.00
1 + X4 + -0.75x + -0.5x2 + 0.75x3 = 0.00 + 0.5x2 + -0.5x2 + -0.75x3 + 0.75x3
1 + X4 + -0.75x + -0.5x2 + 0.75x3 = 0.5x2 + -0.5x2 + -0.75x3 + 0.75x3

Combine like terms: 0.5x2 + -0.5x2 = 0.0
1 + X4 + -0.75x + -0.5x2 + 0.75x3 = 0.0 + -0.75x3 + 0.75x3
1 + X4 + -0.75x + -0.5x2 + 0.75x3 = -0.75x3 + 0.75x3

Combine like terms: -0.75x3 + 0.75x3 = 0.00
1 + X4 + -0.75x + -0.5x2 + 0.75x3 = 0.00

The solution to this equation could not be determined.

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