0=x^5-x^4-4x^3+12x^2-12x-4

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Solution for 0=x^5-x^4-4x^3+12x^2-12x-4 equation: 


Simplifying
0 = x5 + -1x4 + -4x3 + 12x2 + -12x + -4

Reorder the terms:
0 = -4 + -12x + 12x2 + -4x3 + -1x4 + x5

Solving
0 = -4 + -12x + 12x2 + -4x3 + -1x4 + x5

Solving for variable 'x'.

Combine like terms: 0 + 4 = 4
4 + 12x + -12x2 + 4x3 + x4 + -1x5 = -4 + -12x + 12x2 + -4x3 + -1x4 + x5 + 4 + 12x + -12x2 + 4x3 + x4 + -1x5

Reorder the terms:
4 + 12x + -12x2 + 4x3 + x4 + -1x5 = -4 + 4 + -12x + 12x + 12x2 + -12x2 + -4x3 + 4x3 + -1x4 + x4 + x5 + -1x5

Combine like terms: -4 + 4 = 0
4 + 12x + -12x2 + 4x3 + x4 + -1x5 = 0 + -12x + 12x + 12x2 + -12x2 + -4x3 + 4x3 + -1x4 + x4 + x5 + -1x5
4 + 12x + -12x2 + 4x3 + x4 + -1x5 = -12x + 12x + 12x2 + -12x2 + -4x3 + 4x3 + -1x4 + x4 + x5 + -1x5

Combine like terms: -12x + 12x = 0
4 + 12x + -12x2 + 4x3 + x4 + -1x5 = 0 + 12x2 + -12x2 + -4x3 + 4x3 + -1x4 + x4 + x5 + -1x5
4 + 12x + -12x2 + 4x3 + x4 + -1x5 = 12x2 + -12x2 + -4x3 + 4x3 + -1x4 + x4 + x5 + -1x5

Combine like terms: 12x2 + -12x2 = 0
4 + 12x + -12x2 + 4x3 + x4 + -1x5 = 0 + -4x3 + 4x3 + -1x4 + x4 + x5 + -1x5
4 + 12x + -12x2 + 4x3 + x4 + -1x5 = -4x3 + 4x3 + -1x4 + x4 + x5 + -1x5

Combine like terms: -4x3 + 4x3 = 0
4 + 12x + -12x2 + 4x3 + x4 + -1x5 = 0 + -1x4 + x4 + x5 + -1x5
4 + 12x + -12x2 + 4x3 + x4 + -1x5 = -1x4 + x4 + x5 + -1x5

Combine like terms: -1x4 + x4 = 0
4 + 12x + -12x2 + 4x3 + x4 + -1x5 = 0 + x5 + -1x5
4 + 12x + -12x2 + 4x3 + x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
4 + 12x + -12x2 + 4x3 + x4 + -1x5 = 0

The solution to this equation could not be determined.

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