F(x)=x^5+5x^4-7x^3-35x^2-8x-40

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Solution for F(x)=x^5+5x^4-7x^3-35x^2-8x-40 equation: 


Simplifying
F(x) = x5 + 5x4 + -7x3 + -35x2 + -8x + -40

Multiply F * x
xF = x5 + 5x4 + -7x3 + -35x2 + -8x + -40

Reorder the terms:
xF = -40 + -8x + -35x2 + -7x3 + 5x4 + x5

Solving
xF = -40 + -8x + -35x2 + -7x3 + 5x4 + x5

Solving for variable 'x'.

Reorder the terms:
40 + 8x + xF + 35x2 + 7x3 + -5x4 + -1x5 = -40 + -8x + -35x2 + -7x3 + 5x4 + x5 + 40 + 8x + 35x2 + 7x3 + -5x4 + -1x5

Reorder the terms:
40 + 8x + xF + 35x2 + 7x3 + -5x4 + -1x5 = -40 + 40 + -8x + 8x + -35x2 + 35x2 + -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: -40 + 40 = 0
40 + 8x + xF + 35x2 + 7x3 + -5x4 + -1x5 = 0 + -8x + 8x + -35x2 + 35x2 + -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5
40 + 8x + xF + 35x2 + 7x3 + -5x4 + -1x5 = -8x + 8x + -35x2 + 35x2 + -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: -8x + 8x = 0
40 + 8x + xF + 35x2 + 7x3 + -5x4 + -1x5 = 0 + -35x2 + 35x2 + -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5
40 + 8x + xF + 35x2 + 7x3 + -5x4 + -1x5 = -35x2 + 35x2 + -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: -35x2 + 35x2 = 0
40 + 8x + xF + 35x2 + 7x3 + -5x4 + -1x5 = 0 + -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5
40 + 8x + xF + 35x2 + 7x3 + -5x4 + -1x5 = -7x3 + 7x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: -7x3 + 7x3 = 0
40 + 8x + xF + 35x2 + 7x3 + -5x4 + -1x5 = 0 + 5x4 + -5x4 + x5 + -1x5
40 + 8x + xF + 35x2 + 7x3 + -5x4 + -1x5 = 5x4 + -5x4 + x5 + -1x5

Combine like terms: 5x4 + -5x4 = 0
40 + 8x + xF + 35x2 + 7x3 + -5x4 + -1x5 = 0 + x5 + -1x5
40 + 8x + xF + 35x2 + 7x3 + -5x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
40 + 8x + xF + 35x2 + 7x3 + -5x4 + -1x5 = 0

The solution to this equation could not be determined.

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