Finding a solution for $\sin(x) = \frac{1}{10}(x^2-4\pi x)$

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I have been trying to solve this equation but for some reason I can't seem to find a solution. I know the only two solutions are $x=0$ and $x=4\pi$, but I can only find these values graphically. Can someone please explain if it is possible to find this mathematically and help me solve it.