f(z)=2x^2+4x+1

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Solution for f(z)=2x^2+4x+1 equation:


Simplifying
f(z) = 2x2 + 4x + 1

Multiply f * z
fz = 2x2 + 4x + 1

Reorder the terms:
fz = 1 + 4x + 2x2

Solving
fz = 1 + 4x + 2x2

Solving for variable 'f'.

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

Divide each side by 'z'.
f = z-1 + 4xz-1 + 2x2z-1

Simplifying
f = z-1 + 4xz-1 + 2x2z-1

Reorder the terms:
f = 4xz-1 + 2x2z-1 + z-1

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