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

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


Simplifying
F(x) = 2x5 + -1x4 + x3 + -1x2 + x + 5

Multiply F * x
xF = 2x5 + -1x4 + x3 + -1x2 + x + 5

Reorder the terms:
xF = 5 + x + -1x2 + x3 + -1x4 + 2x5

Solving
xF = 5 + x + -1x2 + x3 + -1x4 + 2x5

Solving for variable 'x'.

Reorder the terms:
-5 + -1x + xF + x2 + -1x3 + x4 + -2x5 = 5 + x + -1x2 + x3 + -1x4 + 2x5 + -5 + -1x + x2 + -1x3 + x4 + -2x5

Reorder the terms:
-5 + -1x + xF + x2 + -1x3 + x4 + -2x5 = 5 + -5 + x + -1x + -1x2 + x2 + x3 + -1x3 + -1x4 + x4 + 2x5 + -2x5

Combine like terms: 5 + -5 = 0
-5 + -1x + xF + x2 + -1x3 + x4 + -2x5 = 0 + x + -1x + -1x2 + x2 + x3 + -1x3 + -1x4 + x4 + 2x5 + -2x5
-5 + -1x + xF + x2 + -1x3 + x4 + -2x5 = x + -1x + -1x2 + x2 + x3 + -1x3 + -1x4 + x4 + 2x5 + -2x5

Combine like terms: x + -1x = 0
-5 + -1x + xF + x2 + -1x3 + x4 + -2x5 = 0 + -1x2 + x2 + x3 + -1x3 + -1x4 + x4 + 2x5 + -2x5
-5 + -1x + xF + x2 + -1x3 + x4 + -2x5 = -1x2 + x2 + x3 + -1x3 + -1x4 + x4 + 2x5 + -2x5

Combine like terms: -1x2 + x2 = 0
-5 + -1x + xF + x2 + -1x3 + x4 + -2x5 = 0 + x3 + -1x3 + -1x4 + x4 + 2x5 + -2x5
-5 + -1x + xF + x2 + -1x3 + x4 + -2x5 = x3 + -1x3 + -1x4 + x4 + 2x5 + -2x5

Combine like terms: x3 + -1x3 = 0
-5 + -1x + xF + x2 + -1x3 + x4 + -2x5 = 0 + -1x4 + x4 + 2x5 + -2x5
-5 + -1x + xF + x2 + -1x3 + x4 + -2x5 = -1x4 + x4 + 2x5 + -2x5

Combine like terms: -1x4 + x4 = 0
-5 + -1x + xF + x2 + -1x3 + x4 + -2x5 = 0 + 2x5 + -2x5
-5 + -1x + xF + x2 + -1x3 + x4 + -2x5 = 2x5 + -2x5

Combine like terms: 2x5 + -2x5 = 0
-5 + -1x + xF + x2 + -1x3 + x4 + -2x5 = 0

The solution to this equation could not be determined.

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