3x^4+14s^3+21x^2+12x+2=0

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Solution for 3x^4+14s^3+21x^2+12x+2=0 equation: 


Simplifying
3x4 + 14s3 + 21x2 + 12x + 2 = 0

Reorder the terms:
2 + 14s3 + 12x + 21x2 + 3x4 = 0

Solving
2 + 14s3 + 12x + 21x2 + 3x4 = 0

Solving for variable 's'.

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

Add '-2' to each side of the equation.
2 + 14s3 + 12x + 21x2 + -2 + 3x4 = 0 + -2

Reorder the terms:
2 + -2 + 14s3 + 12x + 21x2 + 3x4 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 14s3 + 12x + 21x2 + 3x4 = 0 + -2
14s3 + 12x + 21x2 + 3x4 = 0 + -2

Combine like terms: 0 + -2 = -2
14s3 + 12x + 21x2 + 3x4 = -2

Add '-12x' to each side of the equation.
14s3 + 12x + 21x2 + -12x + 3x4 = -2 + -12x

Reorder the terms:
14s3 + 12x + -12x + 21x2 + 3x4 = -2 + -12x

Combine like terms: 12x + -12x = 0
14s3 + 0 + 21x2 + 3x4 = -2 + -12x
14s3 + 21x2 + 3x4 = -2 + -12x

Add '-21x2' to each side of the equation.
14s3 + 21x2 + -21x2 + 3x4 = -2 + -12x + -21x2

Combine like terms: 21x2 + -21x2 = 0
14s3 + 0 + 3x4 = -2 + -12x + -21x2
14s3 + 3x4 = -2 + -12x + -21x2

Add '-3x4' to each side of the equation.
14s3 + 3x4 + -3x4 = -2 + -12x + -21x2 + -3x4

Combine like terms: 3x4 + -3x4 = 0
14s3 + 0 = -2 + -12x + -21x2 + -3x4
14s3 = -2 + -12x + -21x2 + -3x4

Divide each side by '14'.
s3 = -0.1428571429 + -0.8571428571x + -1.5x2 + -0.2142857143x4

Simplifying
s3 = -0.1428571429 + -0.8571428571x + -1.5x2 + -0.2142857143x4

Reorder the terms:
0.1428571429 + s3 + 0.8571428571x + 1.5x2 + 0.2142857143x4 = -0.1428571429 + -0.8571428571x + -1.5x2 + -0.2142857143x4 + 0.1428571429 + 0.8571428571x + 1.5x2 + 0.2142857143x4

Reorder the terms:
0.1428571429 + s3 + 0.8571428571x + 1.5x2 + 0.2142857143x4 = -0.1428571429 + 0.1428571429 + -0.8571428571x + 0.8571428571x + -1.5x2 + 1.5x2 + -0.2142857143x4 + 0.2142857143x4

Combine like terms: -0.1428571429 + 0.1428571429 = 0.0000000000
0.1428571429 + s3 + 0.8571428571x + 1.5x2 + 0.2142857143x4 = 0.0000000000 + -0.8571428571x + 0.8571428571x + -1.5x2 + 1.5x2 + -0.2142857143x4 + 0.2142857143x4
0.1428571429 + s3 + 0.8571428571x + 1.5x2 + 0.2142857143x4 = -0.8571428571x + 0.8571428571x + -1.5x2 + 1.5x2 + -0.2142857143x4 + 0.2142857143x4

Combine like terms: -0.8571428571x + 0.8571428571x = 0.0000000000
0.1428571429 + s3 + 0.8571428571x + 1.5x2 + 0.2142857143x4 = 0.0000000000 + -1.5x2 + 1.5x2 + -0.2142857143x4 + 0.2142857143x4
0.1428571429 + s3 + 0.8571428571x + 1.5x2 + 0.2142857143x4 = -1.5x2 + 1.5x2 + -0.2142857143x4 + 0.2142857143x4

Combine like terms: -1.5x2 + 1.5x2 = 0.0
0.1428571429 + s3 + 0.8571428571x + 1.5x2 + 0.2142857143x4 = 0.0 + -0.2142857143x4 + 0.2142857143x4
0.1428571429 + s3 + 0.8571428571x + 1.5x2 + 0.2142857143x4 = -0.2142857143x4 + 0.2142857143x4

Combine like terms: -0.2142857143x4 + 0.2142857143x4 = 0.0000000000
0.1428571429 + s3 + 0.8571428571x + 1.5x2 + 0.2142857143x4 = 0.0000000000

The solution to this equation could not be determined.

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