[latex]2^{-0,5}-1=cfrac{2x}{4^{-0,25}+1}\\ 2^{-0,5}-1=cfrac{2x}{(2^2)^{-0,25}+1}\\ 2^{-0,5}-1=cfrac{2x}{2^{-0,5}+1}\\ 2x=(2^{-0,5}-1)(2^{-0,5}+1)\\ 2x=(2^{-0,5})^2-1\\ 2x=2^{-1}-1\\ 2x=frac{1}{2}-1\\ 2x=-frac{1}{2}\\ x=-frac{1}{4} [/latex]