Solving a trigonometric equation with sine on both sides

The video tutorial explains how to solve a trigonometric equation by isolating the sine variable and identifying solutions within the interval of 0 to 2π. It involves analyzing the unit circle to find when the sine of an angle equals -√2/2, leading to the determination of two specific angles as solutions.

At which angles does the sine of an angle equal -sqrt 2/2 within the interval of 0 and 2π?

What are the final solutions for X in the equation discussed?