Корень2-2sin(5x-п/3)=0 помогите срочно надо

Решите задачу:

$\displaystyle \sqrt{2}-2sin(5x- \frac{ \pi }{3})=0\\\\2sin(5x- \frac{ \pi }{3})= \sqrt{2}\\\\sin(5x- \frac{ \pi }{3})= \frac{ \sqrt{2}}{2}\\\\5x- \frac{ \pi }{3}=(-1)^narcsin \frac{ \sqrt{2}}{2}+ \pi n; n\in Z\\\\ \left \{ {{5x- \frac{ \pi }{3}= \frac{ \pi }{4}+2 \pi n; n\in Z} \atop {5x- \frac{ \pi }{3}= \frac{3 \pi }{4}+2 \pi n; n\in Z}} \right.\\\\ \left \{ {{5x= \frac{7 \pi }{12}+2 \pi n; n\in Z} \atop {5x= \frac{13 \pi }{12}+2 \pi n; n\in Z}} \right.\\\\$

$\displaystyle \left \{ {{x= \frac{7 \pi }{60}+ \frac{ 2 \pi n}{5}; n\in Z} \atop {x= \frac{13 \pi }{60}+ \frac{2 \pi n}{5}; n\in Z}} \right.$