Ok so the first thing you should do is take de therm 2x-5 and pass it to the other side of the equation multiplying. After that you can distribute the product like this:
Then you can pass the 3 to the other side so you have a square function equal to 0:
This equation means that you have to look for the roots of a square function. Given a general square function:
Its roots (also named zeroes) are given by:
In our problem we have a=2, b=-5 and c=-3. Therefore the roots of the square funtion are:
The symbol between 5 and 7 means that one root is calculate by adding and the other by substracting:
So the roots are 3 and -0.5 and are the two possible values for x. Therefore the correct answer is item A.