Sin 2x = - 3 sinx
solution set

x=0

Step-by-step explanation:

sin2x = - 3sinx

2 sinx cosx = - 3 sinx

. {sinx=0 => x=0i}

2cosx = -3

cosx = -3/2

not possible since range of cosx is [-1,1]ii

so from i and ii

x = 0