X^7-5x^6+3x^5+17x^4-16x^3-24x^2+16x+16=0

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Solution for X^7-5x^6+3x^5+17x^4-16x^3-24x^2+16x+16=0 equation: 


Simplifying
X7 + -5x6 + 3x5 + 17x4 + -16x3 + -24x2 + 16x + 16 = 0

Reorder the terms:
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 0

Solving
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 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 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -16 + -5x6 = 0 + -16

Reorder the terms:
16 + -16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 0 + -16
X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 0 + -16

Combine like terms: 0 + -16 = -16
X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = -16

Add '-16x' to each side of the equation.
X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -16x + -5x6 = -16 + -16x

Reorder the terms:
X7 + 16x + -16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = -16 + -16x

Combine like terms: 16x + -16x = 0
X7 + 0 + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = -16 + -16x
X7 + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = -16 + -16x

Add '24x2' to each side of the equation.
X7 + -24x2 + -16x3 + 17x4 + 3x5 + 24x2 + -5x6 = -16 + -16x + 24x2

Reorder the terms:
X7 + -24x2 + 24x2 + -16x3 + 17x4 + 3x5 + -5x6 = -16 + -16x + 24x2

Combine like terms: -24x2 + 24x2 = 0
X7 + 0 + -16x3 + 17x4 + 3x5 + -5x6 = -16 + -16x + 24x2
X7 + -16x3 + 17x4 + 3x5 + -5x6 = -16 + -16x + 24x2

Add '16x3' to each side of the equation.
X7 + -16x3 + 17x4 + 3x5 + 16x3 + -5x6 = -16 + -16x + 24x2 + 16x3

Reorder the terms:
X7 + -16x3 + 16x3 + 17x4 + 3x5 + -5x6 = -16 + -16x + 24x2 + 16x3

Combine like terms: -16x3 + 16x3 = 0
X7 + 0 + 17x4 + 3x5 + -5x6 = -16 + -16x + 24x2 + 16x3
X7 + 17x4 + 3x5 + -5x6 = -16 + -16x + 24x2 + 16x3

Add '-17x4' to each side of the equation.
X7 + 17x4 + 3x5 + -17x4 + -5x6 = -16 + -16x + 24x2 + 16x3 + -17x4

Reorder the terms:
X7 + 17x4 + -17x4 + 3x5 + -5x6 = -16 + -16x + 24x2 + 16x3 + -17x4

Combine like terms: 17x4 + -17x4 = 0
X7 + 0 + 3x5 + -5x6 = -16 + -16x + 24x2 + 16x3 + -17x4
X7 + 3x5 + -5x6 = -16 + -16x + 24x2 + 16x3 + -17x4

Add '-3x5' to each side of the equation.
X7 + 3x5 + -3x5 + -5x6 = -16 + -16x + 24x2 + 16x3 + -17x4 + -3x5

Combine like terms: 3x5 + -3x5 = 0
X7 + 0 + -5x6 = -16 + -16x + 24x2 + 16x3 + -17x4 + -3x5
X7 + -5x6 = -16 + -16x + 24x2 + 16x3 + -17x4 + -3x5

Add '5x6' to each side of the equation.
X7 + -5x6 + 5x6 = -16 + -16x + 24x2 + 16x3 + -17x4 + -3x5 + 5x6

Combine like terms: -5x6 + 5x6 = 0
X7 + 0 = -16 + -16x + 24x2 + 16x3 + -17x4 + -3x5 + 5x6
X7 = -16 + -16x + 24x2 + 16x3 + -17x4 + -3x5 + 5x6

Simplifying
X7 = -16 + -16x + 24x2 + 16x3 + -17x4 + -3x5 + 5x6

Reorder the terms:
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = -16 + -16x + 24x2 + 16x3 + -17x4 + -3x5 + 5x6 + 16 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6

Reorder the terms:
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = -16 + 16 + -16x + 16x + 24x2 + -24x2 + 16x3 + -16x3 + -17x4 + 17x4 + -3x5 + 3x5 + 5x6 + -5x6

Combine like terms: -16 + 16 = 0
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 0 + -16x + 16x + 24x2 + -24x2 + 16x3 + -16x3 + -17x4 + 17x4 + -3x5 + 3x5 + 5x6 + -5x6
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = -16x + 16x + 24x2 + -24x2 + 16x3 + -16x3 + -17x4 + 17x4 + -3x5 + 3x5 + 5x6 + -5x6

Combine like terms: -16x + 16x = 0
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 0 + 24x2 + -24x2 + 16x3 + -16x3 + -17x4 + 17x4 + -3x5 + 3x5 + 5x6 + -5x6
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 24x2 + -24x2 + 16x3 + -16x3 + -17x4 + 17x4 + -3x5 + 3x5 + 5x6 + -5x6

Combine like terms: 24x2 + -24x2 = 0
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 0 + 16x3 + -16x3 + -17x4 + 17x4 + -3x5 + 3x5 + 5x6 + -5x6
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 16x3 + -16x3 + -17x4 + 17x4 + -3x5 + 3x5 + 5x6 + -5x6

Combine like terms: 16x3 + -16x3 = 0
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 0 + -17x4 + 17x4 + -3x5 + 3x5 + 5x6 + -5x6
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = -17x4 + 17x4 + -3x5 + 3x5 + 5x6 + -5x6

Combine like terms: -17x4 + 17x4 = 0
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 0 + -3x5 + 3x5 + 5x6 + -5x6
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = -3x5 + 3x5 + 5x6 + -5x6

Combine like terms: -3x5 + 3x5 = 0
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 0 + 5x6 + -5x6
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 5x6 + -5x6

Combine like terms: 5x6 + -5x6 = 0
16 + X7 + 16x + -24x2 + -16x3 + 17x4 + 3x5 + -5x6 = 0

The solution to this equation could not be determined.

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