Solving functional equation $1=e^{−\frac{2}{k}f(ax+bx^2)}+2f(x)$

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I want to solve the functional equation $$1=e^{−\frac{2}{k}f(ax+bx^2)} + 2f(x),$$ where $k>0$ and $a,b\in\mathbb R$. Do you have any ideas on how to tackle this problem?