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

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


Simplifying
f(x) = x6 + -3x4 + 2x4 + 8x3 + -1x2 + -1x + 3

Multiply f * x
fx = x6 + -3x4 + 2x4 + 8x3 + -1x2 + -1x + 3

Reorder the terms:
fx = 3 + -1x + -1x2 + 8x3 + -3x4 + 2x4 + x6

Combine like terms: -3x4 + 2x4 = -1x4
fx = 3 + -1x + -1x2 + 8x3 + -1x4 + x6

Solving
fx = 3 + -1x + -1x2 + 8x3 + -1x4 + x6

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 3x-1 + -1 + -1x + 8x2 + -1x3 + x5

Simplifying
f = 3x-1 + -1 + -1x + 8x2 + -1x3 + x5

Reorder the terms:
f = -1 + 3x-1 + -1x + 8x2 + -1x3 + x5

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