F(x)=x^8-2x^5+x^4-3x+20

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Solution for F(x)=x^8-2x^5+x^4-3x+20 equation: 


Simplifying
F(x) = x8 + -2x5 + x4 + -3x + 20

Multiply F * x
xF = x8 + -2x5 + x4 + -3x + 20

Reorder the terms:
xF = 20 + -3x + x4 + -2x5 + x8

Solving
xF = 20 + -3x + x4 + -2x5 + x8

Solving for variable 'x'.

Reorder the terms:
-20 + 3x + xF + -1x4 + 2x5 + -1x8 = 20 + -3x + x4 + -2x5 + x8 + -20 + 3x + -1x4 + 2x5 + -1x8

Reorder the terms:
-20 + 3x + xF + -1x4 + 2x5 + -1x8 = 20 + -20 + -3x + 3x + x4 + -1x4 + -2x5 + 2x5 + x8 + -1x8

Combine like terms: 20 + -20 = 0
-20 + 3x + xF + -1x4 + 2x5 + -1x8 = 0 + -3x + 3x + x4 + -1x4 + -2x5 + 2x5 + x8 + -1x8
-20 + 3x + xF + -1x4 + 2x5 + -1x8 = -3x + 3x + x4 + -1x4 + -2x5 + 2x5 + x8 + -1x8

Combine like terms: -3x + 3x = 0
-20 + 3x + xF + -1x4 + 2x5 + -1x8 = 0 + x4 + -1x4 + -2x5 + 2x5 + x8 + -1x8
-20 + 3x + xF + -1x4 + 2x5 + -1x8 = x4 + -1x4 + -2x5 + 2x5 + x8 + -1x8

Combine like terms: x4 + -1x4 = 0
-20 + 3x + xF + -1x4 + 2x5 + -1x8 = 0 + -2x5 + 2x5 + x8 + -1x8
-20 + 3x + xF + -1x4 + 2x5 + -1x8 = -2x5 + 2x5 + x8 + -1x8

Combine like terms: -2x5 + 2x5 = 0
-20 + 3x + xF + -1x4 + 2x5 + -1x8 = 0 + x8 + -1x8
-20 + 3x + xF + -1x4 + 2x5 + -1x8 = x8 + -1x8

Combine like terms: x8 + -1x8 = 0
-20 + 3x + xF + -1x4 + 2x5 + -1x8 = 0

The solution to this equation could not be determined.

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