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sin(x)^2+sin(2x)^2-sin(3x)^2-sin(4x)^2=0 equation

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   2         2           2           2         
sin (x) + sin (2*x) - sin (3*x) - sin (4*x) = 0
$$\left(\left(\sin^{2}{\left(x \right)} + \sin^{2}{\left(2 x \right)}\right) - \sin^{2}{\left(3 x \right)}\right) - \sin^{2}{\left(4 x \right)} = 0$$
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