2X^5-10x^4-6x^3+30x^2-8x+40=0

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Solution for 2X^5-10x^4-6x^3+30x^2-8x+40=0 equation: 


Simplifying
2X5 + -10x4 + -6x3 + 30x2 + -8x + 40 = 0

Reorder the terms:
40 + 2X5 + -8x + 30x2 + -6x3 + -10x4 = 0

Solving
40 + 2X5 + -8x + 30x2 + -6x3 + -10x4 = 0

Solving for variable 'X'.

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

Add '-40' to each side of the equation.
40 + 2X5 + -8x + 30x2 + -6x3 + -40 + -10x4 = 0 + -40

Reorder the terms:
40 + -40 + 2X5 + -8x + 30x2 + -6x3 + -10x4 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 2X5 + -8x + 30x2 + -6x3 + -10x4 = 0 + -40
2X5 + -8x + 30x2 + -6x3 + -10x4 = 0 + -40

Combine like terms: 0 + -40 = -40
2X5 + -8x + 30x2 + -6x3 + -10x4 = -40

Add '8x' to each side of the equation.
2X5 + -8x + 30x2 + -6x3 + 8x + -10x4 = -40 + 8x

Reorder the terms:
2X5 + -8x + 8x + 30x2 + -6x3 + -10x4 = -40 + 8x

Combine like terms: -8x + 8x = 0
2X5 + 0 + 30x2 + -6x3 + -10x4 = -40 + 8x
2X5 + 30x2 + -6x3 + -10x4 = -40 + 8x

Add '-30x2' to each side of the equation.
2X5 + 30x2 + -6x3 + -30x2 + -10x4 = -40 + 8x + -30x2

Reorder the terms:
2X5 + 30x2 + -30x2 + -6x3 + -10x4 = -40 + 8x + -30x2

Combine like terms: 30x2 + -30x2 = 0
2X5 + 0 + -6x3 + -10x4 = -40 + 8x + -30x2
2X5 + -6x3 + -10x4 = -40 + 8x + -30x2

Add '6x3' to each side of the equation.
2X5 + -6x3 + 6x3 + -10x4 = -40 + 8x + -30x2 + 6x3

Combine like terms: -6x3 + 6x3 = 0
2X5 + 0 + -10x4 = -40 + 8x + -30x2 + 6x3
2X5 + -10x4 = -40 + 8x + -30x2 + 6x3

Add '10x4' to each side of the equation.
2X5 + -10x4 + 10x4 = -40 + 8x + -30x2 + 6x3 + 10x4

Combine like terms: -10x4 + 10x4 = 0
2X5 + 0 = -40 + 8x + -30x2 + 6x3 + 10x4
2X5 = -40 + 8x + -30x2 + 6x3 + 10x4

Divide each side by '2'.
X5 = -20 + 4x + -15x2 + 3x3 + 5x4

Simplifying
X5 = -20 + 4x + -15x2 + 3x3 + 5x4

Reorder the terms:
20 + X5 + -4x + 15x2 + -3x3 + -5x4 = -20 + 4x + -15x2 + 3x3 + 5x4 + 20 + -4x + 15x2 + -3x3 + -5x4

Reorder the terms:
20 + X5 + -4x + 15x2 + -3x3 + -5x4 = -20 + 20 + 4x + -4x + -15x2 + 15x2 + 3x3 + -3x3 + 5x4 + -5x4

Combine like terms: -20 + 20 = 0
20 + X5 + -4x + 15x2 + -3x3 + -5x4 = 0 + 4x + -4x + -15x2 + 15x2 + 3x3 + -3x3 + 5x4 + -5x4
20 + X5 + -4x + 15x2 + -3x3 + -5x4 = 4x + -4x + -15x2 + 15x2 + 3x3 + -3x3 + 5x4 + -5x4

Combine like terms: 4x + -4x = 0
20 + X5 + -4x + 15x2 + -3x3 + -5x4 = 0 + -15x2 + 15x2 + 3x3 + -3x3 + 5x4 + -5x4
20 + X5 + -4x + 15x2 + -3x3 + -5x4 = -15x2 + 15x2 + 3x3 + -3x3 + 5x4 + -5x4

Combine like terms: -15x2 + 15x2 = 0
20 + X5 + -4x + 15x2 + -3x3 + -5x4 = 0 + 3x3 + -3x3 + 5x4 + -5x4
20 + X5 + -4x + 15x2 + -3x3 + -5x4 = 3x3 + -3x3 + 5x4 + -5x4

Combine like terms: 3x3 + -3x3 = 0
20 + X5 + -4x + 15x2 + -3x3 + -5x4 = 0 + 5x4 + -5x4
20 + X5 + -4x + 15x2 + -3x3 + -5x4 = 5x4 + -5x4

Combine like terms: 5x4 + -5x4 = 0
20 + X5 + -4x + 15x2 + -3x3 + -5x4 = 0

The solution to this equation could not be determined.

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