2x^5+x^4-7x^3+21X^2-225x+108=0

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Solution for 2x^5+x^4-7x^3+21X^2-225x+108=0 equation: 


Simplifying
2x5 + x4 + -7x3 + 21X2 + -225x + 108 = 0

Reorder the terms:
108 + 21X2 + -225x + -7x3 + x4 + 2x5 = 0

Solving
108 + 21X2 + -225x + -7x3 + x4 + 2x5 = 0

Solving for variable 'X'.

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

Add '-108' to each side of the equation.
108 + 21X2 + -225x + -7x3 + x4 + -108 + 2x5 = 0 + -108

Reorder the terms:
108 + -108 + 21X2 + -225x + -7x3 + x4 + 2x5 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + 21X2 + -225x + -7x3 + x4 + 2x5 = 0 + -108
21X2 + -225x + -7x3 + x4 + 2x5 = 0 + -108

Combine like terms: 0 + -108 = -108
21X2 + -225x + -7x3 + x4 + 2x5 = -108

Add '225x' to each side of the equation.
21X2 + -225x + -7x3 + x4 + 225x + 2x5 = -108 + 225x

Reorder the terms:
21X2 + -225x + 225x + -7x3 + x4 + 2x5 = -108 + 225x

Combine like terms: -225x + 225x = 0
21X2 + 0 + -7x3 + x4 + 2x5 = -108 + 225x
21X2 + -7x3 + x4 + 2x5 = -108 + 225x

Add '7x3' to each side of the equation.
21X2 + -7x3 + x4 + 7x3 + 2x5 = -108 + 225x + 7x3

Reorder the terms:
21X2 + -7x3 + 7x3 + x4 + 2x5 = -108 + 225x + 7x3

Combine like terms: -7x3 + 7x3 = 0
21X2 + 0 + x4 + 2x5 = -108 + 225x + 7x3
21X2 + x4 + 2x5 = -108 + 225x + 7x3

Add '-1x4' to each side of the equation.
21X2 + x4 + -1x4 + 2x5 = -108 + 225x + 7x3 + -1x4

Combine like terms: x4 + -1x4 = 0
21X2 + 0 + 2x5 = -108 + 225x + 7x3 + -1x4
21X2 + 2x5 = -108 + 225x + 7x3 + -1x4

Add '-2x5' to each side of the equation.
21X2 + 2x5 + -2x5 = -108 + 225x + 7x3 + -1x4 + -2x5

Combine like terms: 2x5 + -2x5 = 0
21X2 + 0 = -108 + 225x + 7x3 + -1x4 + -2x5
21X2 = -108 + 225x + 7x3 + -1x4 + -2x5

Divide each side by '21'.
X2 = -5.142857143 + 10.71428571x + 0.3333333333x3 + -0.04761904762x4 + -0.09523809524x5

Simplifying
X2 = -5.142857143 + 10.71428571x + 0.3333333333x3 + -0.04761904762x4 + -0.09523809524x5

Reorder the terms:
5.142857143 + X2 + -10.71428571x + -0.3333333333x3 + 0.04761904762x4 + 0.09523809524x5 = -5.142857143 + 10.71428571x + 0.3333333333x3 + -0.04761904762x4 + -0.09523809524x5 + 5.142857143 + -10.71428571x + -0.3333333333x3 + 0.04761904762x4 + 0.09523809524x5

Reorder the terms:
5.142857143 + X2 + -10.71428571x + -0.3333333333x3 + 0.04761904762x4 + 0.09523809524x5 = -5.142857143 + 5.142857143 + 10.71428571x + -10.71428571x + 0.3333333333x3 + -0.3333333333x3 + -0.04761904762x4 + 0.04761904762x4 + -0.09523809524x5 + 0.09523809524x5

Combine like terms: -5.142857143 + 5.142857143 = 0.000000000
5.142857143 + X2 + -10.71428571x + -0.3333333333x3 + 0.04761904762x4 + 0.09523809524x5 = 0.000000000 + 10.71428571x + -10.71428571x + 0.3333333333x3 + -0.3333333333x3 + -0.04761904762x4 + 0.04761904762x4 + -0.09523809524x5 + 0.09523809524x5
5.142857143 + X2 + -10.71428571x + -0.3333333333x3 + 0.04761904762x4 + 0.09523809524x5 = 10.71428571x + -10.71428571x + 0.3333333333x3 + -0.3333333333x3 + -0.04761904762x4 + 0.04761904762x4 + -0.09523809524x5 + 0.09523809524x5

Combine like terms: 10.71428571x + -10.71428571x = 0.00000000
5.142857143 + X2 + -10.71428571x + -0.3333333333x3 + 0.04761904762x4 + 0.09523809524x5 = 0.00000000 + 0.3333333333x3 + -0.3333333333x3 + -0.04761904762x4 + 0.04761904762x4 + -0.09523809524x5 + 0.09523809524x5
5.142857143 + X2 + -10.71428571x + -0.3333333333x3 + 0.04761904762x4 + 0.09523809524x5 = 0.3333333333x3 + -0.3333333333x3 + -0.04761904762x4 + 0.04761904762x4 + -0.09523809524x5 + 0.09523809524x5

Combine like terms: 0.3333333333x3 + -0.3333333333x3 = 0.0000000000
5.142857143 + X2 + -10.71428571x + -0.3333333333x3 + 0.04761904762x4 + 0.09523809524x5 = 0.0000000000 + -0.04761904762x4 + 0.04761904762x4 + -0.09523809524x5 + 0.09523809524x5
5.142857143 + X2 + -10.71428571x + -0.3333333333x3 + 0.04761904762x4 + 0.09523809524x5 = -0.04761904762x4 + 0.04761904762x4 + -0.09523809524x5 + 0.09523809524x5

Combine like terms: -0.04761904762x4 + 0.04761904762x4 = 0.00000000000
5.142857143 + X2 + -10.71428571x + -0.3333333333x3 + 0.04761904762x4 + 0.09523809524x5 = 0.00000000000 + -0.09523809524x5 + 0.09523809524x5
5.142857143 + X2 + -10.71428571x + -0.3333333333x3 + 0.04761904762x4 + 0.09523809524x5 = -0.09523809524x5 + 0.09523809524x5

Combine like terms: -0.09523809524x5 + 0.09523809524x5 = 0.00000000000
5.142857143 + X2 + -10.71428571x + -0.3333333333x3 + 0.04761904762x4 + 0.09523809524x5 = 0.00000000000

The solution to this equation could not be determined.

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