Question 1012072
You want to isolate the trig function and the constants. First subtract 3 on both sides.
{{{4sin(x)=-3}}}
Then divide both sides by 4.
{{{sin(x)=-3/4}}}
I don't believe this is a special number. You'll have to rely on arcsin.
{{{arcsin(sin(x))=arcsin(-3/4)}}}
{{{x=arcsin(-3/4)}}}, which is approximately -0.848