f(x)=5x^4-10x^3+10x^2-10x+5

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Solution for f(x)=5x^4-10x^3+10x^2-10x+5 equation: 


Simplifying
f(x) = 5x4 + -10x3 + 10x2 + -10x + 5

Multiply f * x
fx = 5x4 + -10x3 + 10x2 + -10x + 5

Reorder the terms:
fx = 5 + -10x + 10x2 + -10x3 + 5x4

Solving
fx = 5 + -10x + 10x2 + -10x3 + 5x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 5x-1 + -10 + 10x + -10x2 + 5x3

Simplifying
f = 5x-1 + -10 + 10x + -10x2 + 5x3

Reorder the terms:
f = -10 + 5x-1 + 10x + -10x2 + 5x3

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