Question 547735
{{{4*sin((2x-pi)/3)=0}}}
Dividing both sides by 4 
{{{sin((2x-pi)/3)=0}}}


Now looking at the y=sin(x) graph we have 
{{{graph(300,200, -10,10,-10,10,sin(x))}}}


We can see that the graph has a y value of 0 ever 180 degrees (though it is a bit hard to see as this graph is in radians, this is a known fact) (or 180*k where k is an integer).


So we get (from now on k is an integer)
{{{2x-pi)/3=180k}}}
{{{2x-pi=180*k*3}}}
{{{2x-pi=540*k}}}
{{{2x=540*k+pi}}}
{{{x=(540*k+pi)/2}}}

Hopefully this helps!  Let me know if you are unsure still.