

Clear the fraction by multiplying every term by 2


Subtract 6 from both sides:


Divide both sides by 2


Since
is positive, 2x is in QI or QIV
We want to include all but only all values of x on [0, 2π)
which is the inequality:




Since our equation involves 2x, not just x, we must multiply
that inequality through by 2:




So all possibilities for 2x in that interval for


are
And we solve for x:
Edwn