f(4z)=x^2-1

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


Simplifying
f(4z) = x2 + -1

Remove parenthesis around (4z)
f * 4z = x2 + -1

Reorder the terms for easier multiplication:
4f * z = x2 + -1

Multiply f * z
4fz = x2 + -1

Reorder the terms:
4fz = -1 + x2

Solving
4fz = -1 + x2

Solving for variable 'f'.

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

Divide each side by '4z'.
f = -0.25z-1 + 0.25x2z-1

Simplifying
f = -0.25z-1 + 0.25x2z-1

Reorder the terms:
f = 0.25x2z-1 + -0.25z-1

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