f(x)=x^8+8x^7-30x^6-60x^5+70x^4+60x^3-30x^2-8x+1

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Solution for f(x)=x^8+8x^7-30x^6-60x^5+70x^4+60x^3-30x^2-8x+1 equation: 


Simplifying
f(x) = x8 + 8x7 + -30x6 + -60x5 + 70x4 + 60x3 + -30x2 + -8x + 1

Multiply f * x
fx = x8 + 8x7 + -30x6 + -60x5 + 70x4 + 60x3 + -30x2 + -8x + 1

Reorder the terms:
fx = 1 + -8x + -30x2 + 60x3 + 70x4 + -60x5 + -30x6 + 8x7 + x8

Solving
fx = 1 + -8x + -30x2 + 60x3 + 70x4 + -60x5 + -30x6 + 8x7 + x8

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.
f = x-1 + -8 + -30x + 60x2 + 70x3 + -60x4 + -30x5 + 8x6 + x7

Simplifying
f = x-1 + -8 + -30x + 60x2 + 70x3 + -60x4 + -30x5 + 8x6 + x7

Reorder the terms:
f = -8 + x-1 + -30x + 60x2 + 70x3 + -60x4 + -30x5 + 8x6 + x7

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