X^4-5x^3+20x^2-38x+16=0

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Solution for X^4-5x^3+20x^2-38x+16=0 equation: 


Simplifying
X4 + -5x3 + 20x2 + -38x + 16 = 0

Reorder the terms:
16 + X4 + -38x + 20x2 + -5x3 = 0

Solving
16 + X4 + -38x + 20x2 + -5x3 = 0

Solving for variable 'X'.

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

Add '-16' to each side of the equation.
16 + X4 + -38x + 20x2 + -16 + -5x3 = 0 + -16

Reorder the terms:
16 + -16 + X4 + -38x + 20x2 + -5x3 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + X4 + -38x + 20x2 + -5x3 = 0 + -16
X4 + -38x + 20x2 + -5x3 = 0 + -16

Combine like terms: 0 + -16 = -16
X4 + -38x + 20x2 + -5x3 = -16

Add '38x' to each side of the equation.
X4 + -38x + 20x2 + 38x + -5x3 = -16 + 38x

Reorder the terms:
X4 + -38x + 38x + 20x2 + -5x3 = -16 + 38x

Combine like terms: -38x + 38x = 0
X4 + 0 + 20x2 + -5x3 = -16 + 38x
X4 + 20x2 + -5x3 = -16 + 38x

Add '-20x2' to each side of the equation.
X4 + 20x2 + -20x2 + -5x3 = -16 + 38x + -20x2

Combine like terms: 20x2 + -20x2 = 0
X4 + 0 + -5x3 = -16 + 38x + -20x2
X4 + -5x3 = -16 + 38x + -20x2

Add '5x3' to each side of the equation.
X4 + -5x3 + 5x3 = -16 + 38x + -20x2 + 5x3

Combine like terms: -5x3 + 5x3 = 0
X4 + 0 = -16 + 38x + -20x2 + 5x3
X4 = -16 + 38x + -20x2 + 5x3

Simplifying
X4 = -16 + 38x + -20x2 + 5x3

Reorder the terms:
16 + X4 + -38x + 20x2 + -5x3 = -16 + 38x + -20x2 + 5x3 + 16 + -38x + 20x2 + -5x3

Reorder the terms:
16 + X4 + -38x + 20x2 + -5x3 = -16 + 16 + 38x + -38x + -20x2 + 20x2 + 5x3 + -5x3

Combine like terms: -16 + 16 = 0
16 + X4 + -38x + 20x2 + -5x3 = 0 + 38x + -38x + -20x2 + 20x2 + 5x3 + -5x3
16 + X4 + -38x + 20x2 + -5x3 = 38x + -38x + -20x2 + 20x2 + 5x3 + -5x3

Combine like terms: 38x + -38x = 0
16 + X4 + -38x + 20x2 + -5x3 = 0 + -20x2 + 20x2 + 5x3 + -5x3
16 + X4 + -38x + 20x2 + -5x3 = -20x2 + 20x2 + 5x3 + -5x3

Combine like terms: -20x2 + 20x2 = 0
16 + X4 + -38x + 20x2 + -5x3 = 0 + 5x3 + -5x3
16 + X4 + -38x + 20x2 + -5x3 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
16 + X4 + -38x + 20x2 + -5x3 = 0

The solution to this equation could not be determined.

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