X^5+2x^4+8x^3+16x^2+7x+14=0

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Solution for X^5+2x^4+8x^3+16x^2+7x+14=0 equation:


Simplifying
X5 + 2x4 + 8x3 + 16x2 + 7x + 14 = 0

Reorder the terms:
14 + X5 + 7x + 16x2 + 8x3 + 2x4 = 0

Solving
14 + X5 + 7x + 16x2 + 8x3 + 2x4 = 0

Solving for variable 'X'.

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

Add '-14' to each side of the equation.
14 + X5 + 7x + 16x2 + 8x3 + -14 + 2x4 = 0 + -14

Reorder the terms:
14 + -14 + X5 + 7x + 16x2 + 8x3 + 2x4 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + X5 + 7x + 16x2 + 8x3 + 2x4 = 0 + -14
X5 + 7x + 16x2 + 8x3 + 2x4 = 0 + -14

Combine like terms: 0 + -14 = -14
X5 + 7x + 16x2 + 8x3 + 2x4 = -14

Add '-7x' to each side of the equation.
X5 + 7x + 16x2 + 8x3 + -7x + 2x4 = -14 + -7x

Reorder the terms:
X5 + 7x + -7x + 16x2 + 8x3 + 2x4 = -14 + -7x

Combine like terms: 7x + -7x = 0
X5 + 0 + 16x2 + 8x3 + 2x4 = -14 + -7x
X5 + 16x2 + 8x3 + 2x4 = -14 + -7x

Add '-16x2' to each side of the equation.
X5 + 16x2 + 8x3 + -16x2 + 2x4 = -14 + -7x + -16x2

Reorder the terms:
X5 + 16x2 + -16x2 + 8x3 + 2x4 = -14 + -7x + -16x2

Combine like terms: 16x2 + -16x2 = 0
X5 + 0 + 8x3 + 2x4 = -14 + -7x + -16x2
X5 + 8x3 + 2x4 = -14 + -7x + -16x2

Add '-8x3' to each side of the equation.
X5 + 8x3 + -8x3 + 2x4 = -14 + -7x + -16x2 + -8x3

Combine like terms: 8x3 + -8x3 = 0
X5 + 0 + 2x4 = -14 + -7x + -16x2 + -8x3
X5 + 2x4 = -14 + -7x + -16x2 + -8x3

Add '-2x4' to each side of the equation.
X5 + 2x4 + -2x4 = -14 + -7x + -16x2 + -8x3 + -2x4

Combine like terms: 2x4 + -2x4 = 0
X5 + 0 = -14 + -7x + -16x2 + -8x3 + -2x4
X5 = -14 + -7x + -16x2 + -8x3 + -2x4

Simplifying
X5 = -14 + -7x + -16x2 + -8x3 + -2x4

Reorder the terms:
14 + X5 + 7x + 16x2 + 8x3 + 2x4 = -14 + -7x + -16x2 + -8x3 + -2x4 + 14 + 7x + 16x2 + 8x3 + 2x4

Reorder the terms:
14 + X5 + 7x + 16x2 + 8x3 + 2x4 = -14 + 14 + -7x + 7x + -16x2 + 16x2 + -8x3 + 8x3 + -2x4 + 2x4

Combine like terms: -14 + 14 = 0
14 + X5 + 7x + 16x2 + 8x3 + 2x4 = 0 + -7x + 7x + -16x2 + 16x2 + -8x3 + 8x3 + -2x4 + 2x4
14 + X5 + 7x + 16x2 + 8x3 + 2x4 = -7x + 7x + -16x2 + 16x2 + -8x3 + 8x3 + -2x4 + 2x4

Combine like terms: -7x + 7x = 0
14 + X5 + 7x + 16x2 + 8x3 + 2x4 = 0 + -16x2 + 16x2 + -8x3 + 8x3 + -2x4 + 2x4
14 + X5 + 7x + 16x2 + 8x3 + 2x4 = -16x2 + 16x2 + -8x3 + 8x3 + -2x4 + 2x4

Combine like terms: -16x2 + 16x2 = 0
14 + X5 + 7x + 16x2 + 8x3 + 2x4 = 0 + -8x3 + 8x3 + -2x4 + 2x4
14 + X5 + 7x + 16x2 + 8x3 + 2x4 = -8x3 + 8x3 + -2x4 + 2x4

Combine like terms: -8x3 + 8x3 = 0
14 + X5 + 7x + 16x2 + 8x3 + 2x4 = 0 + -2x4 + 2x4
14 + X5 + 7x + 16x2 + 8x3 + 2x4 = -2x4 + 2x4

Combine like terms: -2x4 + 2x4 = 0
14 + X5 + 7x + 16x2 + 8x3 + 2x4 = 0

The solution to this equation could not be determined.

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