X^5+16x^4-10x^3-x^2+5x+22=0

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Solution for X^5+16x^4-10x^3-x^2+5x+22=0 equation: 


Simplifying
X5 + 16x4 + -10x3 + -1x2 + 5x + 22 = 0

Reorder the terms:
22 + X5 + 5x + -1x2 + -10x3 + 16x4 = 0

Solving
22 + X5 + 5x + -1x2 + -10x3 + 16x4 = 0

Solving for variable 'X'.

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

Add '-22' to each side of the equation.
22 + X5 + 5x + -1x2 + -10x3 + -22 + 16x4 = 0 + -22

Reorder the terms:
22 + -22 + X5 + 5x + -1x2 + -10x3 + 16x4 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + X5 + 5x + -1x2 + -10x3 + 16x4 = 0 + -22
X5 + 5x + -1x2 + -10x3 + 16x4 = 0 + -22

Combine like terms: 0 + -22 = -22
X5 + 5x + -1x2 + -10x3 + 16x4 = -22

Add '-5x' to each side of the equation.
X5 + 5x + -1x2 + -10x3 + -5x + 16x4 = -22 + -5x

Reorder the terms:
X5 + 5x + -5x + -1x2 + -10x3 + 16x4 = -22 + -5x

Combine like terms: 5x + -5x = 0
X5 + 0 + -1x2 + -10x3 + 16x4 = -22 + -5x
X5 + -1x2 + -10x3 + 16x4 = -22 + -5x

Add 'x2' to each side of the equation.
X5 + -1x2 + -10x3 + x2 + 16x4 = -22 + -5x + x2

Reorder the terms:
X5 + -1x2 + x2 + -10x3 + 16x4 = -22 + -5x + x2

Combine like terms: -1x2 + x2 = 0
X5 + 0 + -10x3 + 16x4 = -22 + -5x + x2
X5 + -10x3 + 16x4 = -22 + -5x + x2

Add '10x3' to each side of the equation.
X5 + -10x3 + 10x3 + 16x4 = -22 + -5x + x2 + 10x3

Combine like terms: -10x3 + 10x3 = 0
X5 + 0 + 16x4 = -22 + -5x + x2 + 10x3
X5 + 16x4 = -22 + -5x + x2 + 10x3

Add '-16x4' to each side of the equation.
X5 + 16x4 + -16x4 = -22 + -5x + x2 + 10x3 + -16x4

Combine like terms: 16x4 + -16x4 = 0
X5 + 0 = -22 + -5x + x2 + 10x3 + -16x4
X5 = -22 + -5x + x2 + 10x3 + -16x4

Simplifying
X5 = -22 + -5x + x2 + 10x3 + -16x4

Reorder the terms:
22 + X5 + 5x + -1x2 + -10x3 + 16x4 = -22 + -5x + x2 + 10x3 + -16x4 + 22 + 5x + -1x2 + -10x3 + 16x4

Reorder the terms:
22 + X5 + 5x + -1x2 + -10x3 + 16x4 = -22 + 22 + -5x + 5x + x2 + -1x2 + 10x3 + -10x3 + -16x4 + 16x4

Combine like terms: -22 + 22 = 0
22 + X5 + 5x + -1x2 + -10x3 + 16x4 = 0 + -5x + 5x + x2 + -1x2 + 10x3 + -10x3 + -16x4 + 16x4
22 + X5 + 5x + -1x2 + -10x3 + 16x4 = -5x + 5x + x2 + -1x2 + 10x3 + -10x3 + -16x4 + 16x4

Combine like terms: -5x + 5x = 0
22 + X5 + 5x + -1x2 + -10x3 + 16x4 = 0 + x2 + -1x2 + 10x3 + -10x3 + -16x4 + 16x4
22 + X5 + 5x + -1x2 + -10x3 + 16x4 = x2 + -1x2 + 10x3 + -10x3 + -16x4 + 16x4

Combine like terms: x2 + -1x2 = 0
22 + X5 + 5x + -1x2 + -10x3 + 16x4 = 0 + 10x3 + -10x3 + -16x4 + 16x4
22 + X5 + 5x + -1x2 + -10x3 + 16x4 = 10x3 + -10x3 + -16x4 + 16x4

Combine like terms: 10x3 + -10x3 = 0
22 + X5 + 5x + -1x2 + -10x3 + 16x4 = 0 + -16x4 + 16x4
22 + X5 + 5x + -1x2 + -10x3 + 16x4 = -16x4 + 16x4

Combine like terms: -16x4 + 16x4 = 0
22 + X5 + 5x + -1x2 + -10x3 + 16x4 = 0

The solution to this equation could not be determined.

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