S^4-4s^3+6s^2-4s-1=0

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Solution for S^4-4s^3+6s^2-4s-1=0 equation: 


Simplifying
S4 + -4s3 + 6s2 + -4s + -1 = 0

Reorder the terms:
-1 + S4 + -4s + 6s2 + -4s3 = 0

Solving
-1 + S4 + -4s + 6s2 + -4s3 = 0

Solving for variable 'S'.

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

Add '1' to each side of the equation.
-1 + S4 + -4s + 6s2 + 1 + -4s3 = 0 + 1

Reorder the terms:
-1 + 1 + S4 + -4s + 6s2 + -4s3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + S4 + -4s + 6s2 + -4s3 = 0 + 1
S4 + -4s + 6s2 + -4s3 = 0 + 1

Combine like terms: 0 + 1 = 1
S4 + -4s + 6s2 + -4s3 = 1

Add '4s' to each side of the equation.
S4 + -4s + 6s2 + 4s + -4s3 = 1 + 4s

Reorder the terms:
S4 + -4s + 4s + 6s2 + -4s3 = 1 + 4s

Combine like terms: -4s + 4s = 0
S4 + 0 + 6s2 + -4s3 = 1 + 4s
S4 + 6s2 + -4s3 = 1 + 4s

Add '-6s2' to each side of the equation.
S4 + 6s2 + -6s2 + -4s3 = 1 + 4s + -6s2

Combine like terms: 6s2 + -6s2 = 0
S4 + 0 + -4s3 = 1 + 4s + -6s2
S4 + -4s3 = 1 + 4s + -6s2

Add '4s3' to each side of the equation.
S4 + -4s3 + 4s3 = 1 + 4s + -6s2 + 4s3

Combine like terms: -4s3 + 4s3 = 0
S4 + 0 = 1 + 4s + -6s2 + 4s3
S4 = 1 + 4s + -6s2 + 4s3

Simplifying
S4 = 1 + 4s + -6s2 + 4s3

Reorder the terms:
-1 + S4 + -4s + 6s2 + -4s3 = 1 + 4s + -6s2 + 4s3 + -1 + -4s + 6s2 + -4s3

Reorder the terms:
-1 + S4 + -4s + 6s2 + -4s3 = 1 + -1 + 4s + -4s + -6s2 + 6s2 + 4s3 + -4s3

Combine like terms: 1 + -1 = 0
-1 + S4 + -4s + 6s2 + -4s3 = 0 + 4s + -4s + -6s2 + 6s2 + 4s3 + -4s3
-1 + S4 + -4s + 6s2 + -4s3 = 4s + -4s + -6s2 + 6s2 + 4s3 + -4s3

Combine like terms: 4s + -4s = 0
-1 + S4 + -4s + 6s2 + -4s3 = 0 + -6s2 + 6s2 + 4s3 + -4s3
-1 + S4 + -4s + 6s2 + -4s3 = -6s2 + 6s2 + 4s3 + -4s3

Combine like terms: -6s2 + 6s2 = 0
-1 + S4 + -4s + 6s2 + -4s3 = 0 + 4s3 + -4s3
-1 + S4 + -4s + 6s2 + -4s3 = 4s3 + -4s3

Combine like terms: 4s3 + -4s3 = 0
-1 + S4 + -4s + 6s2 + -4s3 = 0

The solution to this equation could not be determined.

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