f(x)=x^5-3x^4-5x^3+5x^2-6x+8

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Solution for f(x)=x^5-3x^4-5x^3+5x^2-6x+8 equation: 


Simplifying
f(x) = x5 + -3x4 + -5x3 + 5x2 + -6x + 8

Multiply f * x
fx = x5 + -3x4 + -5x3 + 5x2 + -6x + 8

Reorder the terms:
fx = 8 + -6x + 5x2 + -5x3 + -3x4 + x5

Solving
fx = 8 + -6x + 5x2 + -5x3 + -3x4 + x5

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 8x-1 + -6 + 5x + -5x2 + -3x3 + x4

Simplifying
f = 8x-1 + -6 + 5x + -5x2 + -3x3 + x4

Reorder the terms:
f = -6 + 8x-1 + 5x + -5x2 + -3x3 + x4

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