F(x)=x^5+2x^4+9x^3+18x^2+20x+40

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Solution for F(x)=x^5+2x^4+9x^3+18x^2+20x+40 equation: 


Simplifying
F(x) = x5 + 2x4 + 9x3 + 18x2 + 20x + 40

Multiply F * x
xF = x5 + 2x4 + 9x3 + 18x2 + 20x + 40

Reorder the terms:
xF = 40 + 20x + 18x2 + 9x3 + 2x4 + x5

Solving
xF = 40 + 20x + 18x2 + 9x3 + 2x4 + x5

Solving for variable 'x'.

Reorder the terms:
-40 + -20x + xF + -18x2 + -9x3 + -2x4 + -1x5 = 40 + 20x + 18x2 + 9x3 + 2x4 + x5 + -40 + -20x + -18x2 + -9x3 + -2x4 + -1x5

Reorder the terms:
-40 + -20x + xF + -18x2 + -9x3 + -2x4 + -1x5 = 40 + -40 + 20x + -20x + 18x2 + -18x2 + 9x3 + -9x3 + 2x4 + -2x4 + x5 + -1x5

Combine like terms: 40 + -40 = 0
-40 + -20x + xF + -18x2 + -9x3 + -2x4 + -1x5 = 0 + 20x + -20x + 18x2 + -18x2 + 9x3 + -9x3 + 2x4 + -2x4 + x5 + -1x5
-40 + -20x + xF + -18x2 + -9x3 + -2x4 + -1x5 = 20x + -20x + 18x2 + -18x2 + 9x3 + -9x3 + 2x4 + -2x4 + x5 + -1x5

Combine like terms: 20x + -20x = 0
-40 + -20x + xF + -18x2 + -9x3 + -2x4 + -1x5 = 0 + 18x2 + -18x2 + 9x3 + -9x3 + 2x4 + -2x4 + x5 + -1x5
-40 + -20x + xF + -18x2 + -9x3 + -2x4 + -1x5 = 18x2 + -18x2 + 9x3 + -9x3 + 2x4 + -2x4 + x5 + -1x5

Combine like terms: 18x2 + -18x2 = 0
-40 + -20x + xF + -18x2 + -9x3 + -2x4 + -1x5 = 0 + 9x3 + -9x3 + 2x4 + -2x4 + x5 + -1x5
-40 + -20x + xF + -18x2 + -9x3 + -2x4 + -1x5 = 9x3 + -9x3 + 2x4 + -2x4 + x5 + -1x5

Combine like terms: 9x3 + -9x3 = 0
-40 + -20x + xF + -18x2 + -9x3 + -2x4 + -1x5 = 0 + 2x4 + -2x4 + x5 + -1x5
-40 + -20x + xF + -18x2 + -9x3 + -2x4 + -1x5 = 2x4 + -2x4 + x5 + -1x5

Combine like terms: 2x4 + -2x4 = 0
-40 + -20x + xF + -18x2 + -9x3 + -2x4 + -1x5 = 0 + x5 + -1x5
-40 + -20x + xF + -18x2 + -9x3 + -2x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
-40 + -20x + xF + -18x2 + -9x3 + -2x4 + -1x5 = 0

The solution to this equation could not be determined.

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