\left [ {{4x=\pi k} \atop {2x=\frac{\pi}{2}+2\pi n}} \right. <=>\left [ {{x=\frac{\pi k}{4} \atop {x=\frac{\pi}{4}+\pi n}} \right. => x=\dfrac{\pi m}{4}\\
k \in Z,\ n \in Z,\ m \in Z.\\\\
Ombem:\ \ \dfrac{\pi m}{4};\ \ m \in Z." alt="sin\ 2x + sin\ 6x=0\\
2sin\frac{2x+6x}{2}cos\frac{2x-6x}{2}=0\\
sin\ 4x\ cos\ 2x=0\\
\left [ {{sin\ 4x=0} \atop {cos\ 2x=0}} \right. <=> \left [ {{4x=\pi k} \atop {2x=\frac{\pi}{2}+2\pi n}} \right. <=>\left [ {{x=\frac{\pi k}{4} \atop {x=\frac{\pi}{4}+\pi n}} \right. => x=\dfrac{\pi m}{4}\\
k \in Z,\ n \in Z,\ m \in Z.\\\\
Ombem:\ \ \dfrac{\pi m}{4};\ \ m \in Z." align="absmiddle" class="latex-formula">