F(x)=x^4-10x^3+36x^2-54x+27

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Solution for F(x)=x^4-10x^3+36x^2-54x+27 equation:


Simplifying
F(x) = x4 + -10x3 + 36x2 + -54x + 27

Multiply F * x
xF = x4 + -10x3 + 36x2 + -54x + 27

Reorder the terms:
xF = 27 + -54x + 36x2 + -10x3 + x4

Solving
xF = 27 + -54x + 36x2 + -10x3 + x4

Solving for variable 'x'.

Reorder the terms:
-27 + 54x + xF + -36x2 + 10x3 + -1x4 = 27 + -54x + 36x2 + -10x3 + x4 + -27 + 54x + -36x2 + 10x3 + -1x4

Reorder the terms:
-27 + 54x + xF + -36x2 + 10x3 + -1x4 = 27 + -27 + -54x + 54x + 36x2 + -36x2 + -10x3 + 10x3 + x4 + -1x4

Combine like terms: 27 + -27 = 0
-27 + 54x + xF + -36x2 + 10x3 + -1x4 = 0 + -54x + 54x + 36x2 + -36x2 + -10x3 + 10x3 + x4 + -1x4
-27 + 54x + xF + -36x2 + 10x3 + -1x4 = -54x + 54x + 36x2 + -36x2 + -10x3 + 10x3 + x4 + -1x4

Combine like terms: -54x + 54x = 0
-27 + 54x + xF + -36x2 + 10x3 + -1x4 = 0 + 36x2 + -36x2 + -10x3 + 10x3 + x4 + -1x4
-27 + 54x + xF + -36x2 + 10x3 + -1x4 = 36x2 + -36x2 + -10x3 + 10x3 + x4 + -1x4

Combine like terms: 36x2 + -36x2 = 0
-27 + 54x + xF + -36x2 + 10x3 + -1x4 = 0 + -10x3 + 10x3 + x4 + -1x4
-27 + 54x + xF + -36x2 + 10x3 + -1x4 = -10x3 + 10x3 + x4 + -1x4

Combine like terms: -10x3 + 10x3 = 0
-27 + 54x + xF + -36x2 + 10x3 + -1x4 = 0 + x4 + -1x4
-27 + 54x + xF + -36x2 + 10x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-27 + 54x + xF + -36x2 + 10x3 + -1x4 = 0

The solution to this equation could not be determined.

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