can anyone help and getting complex roots for nonlinear equation

can any one please solve this non linear equation?it has infinite no of solutions first 3 solutions for each a value i need

x*sin(2*a)+sin(2*x*a)=0

where x is to be find

a=(2*pi-y)/2;

y varies from 0 to 90

please help me

[Matt J]

So you're not really looking for "complex" roots meaning they have the form a+i*b, right?

[vishnu]

they7 have both real and complex solutions for each 'a' value and now i want only complex solutions it may have infinite solutions for just one 'a' value and i want atleast 4 complex solutions for atleast one a value may be take a=45

[Walter Roberson]

Are you sure that y varies from 0 to 90? It is odd that you would be subtracting a value 0 to 90 from 2*pi . Perhaps y varies from 0 to pi/2 ?