Question 97771
Which method are you supposed to use? Completing the square or using the quadratic formula. 

I am using the completing the square method. 

3x^2 = 10x

We have to get the 10x on the other side and we do that by substracting 10x on both sides

3x^2 - 10x = 10x -10x

3x^2 - 10x = 0

Now we need x^2 to be by itself and we do that by dividing by 3.

3x^2 - 10x = 0
..............
3       3

x^2 - 10x = 0
     ....
       3
Now we are able to complete the square by taking half 0f 10x/3 in other words divid 10x/3 by 2 then we square it.

(10x/3)/2 = (5/3)^2 = 25/9

Now we add 25/9 to both sides.

x^2 - 10x + 25 = 25
      .............
       3    9    9

Now we have to factor this out. 

(x - 5/3)^2 = 25/9

Now we take the square root on both sides. 

Sqrt(x - 5/3)^2 = Sqrt 25/9

We will have two solutions. 

x - 5/3 = 5/3
So here again we need to get x by itself and we do that by adding 5/3 on both sides. 
x - 5/3 + 5/3 = 5/3 + 5/3
x = 10/3

For the second solution we will do the opposite of the first one. 

x + 5/3 = 5/3

x + 5/3 - 5/3 = 5/3 - 5/3

x = 0

Normally the problem would be written using the plus or minus sign. And that is completing the Square. I hopes this helps. Good Luck. :)