Given sin2x. Sin3x=sin2x.sin7x prove that x=10 degreePlz answer asap

Bringing all terms to the LHS, 

sin2x (sin3x – sin7x) = 0

- 2.(sin2x)^2.cos5x = 0

 

So x is coming out to be = 0 degree or pi/10 ie, 18 degrees. Are you sure you have to prove x=10??