# Functional equation \$f(x+f(xy))=f(x+f(x)f(y))=f(x)+xf(y)\$

Find all functions $$f : mathbb{R}to mathbb{R}$$ such that $$f(x+f(xy))=f(x+f(x)f(y))=f(x)+xf(y)$$ for any $$x, yin mathbb{R}$$.