f(2x)=x^2-10x+1

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Solution for f(2x)=x^2-10x+1 equation: 


Simplifying
f(2x) = x2 + -10x + 1

Remove parenthesis around (2x)
f * 2x = x2 + -10x + 1

Reorder the terms for easier multiplication:
2f * x = x2 + -10x + 1

Multiply f * x
2fx = x2 + -10x + 1

Reorder the terms:
2fx = 1 + -10x + x2

Solving
2fx = 1 + -10x + x2

Solving for variable 'f'.

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

Divide each side by '2x'.
f = 0.5x-1 + -5 + 0.5x

Simplifying
f = 0.5x-1 + -5 + 0.5x

Reorder the terms:
f = -5 + 0.5x-1 + 0.5x

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