Leading coefficient needs to be 1 so filter out 2
2 (x^2 -3/2 x ) = 5 divied both sides by 2
*x^2 - 3/2 x = 5/2
Now take 1/2 of the x coeeficient 3/4 square it and add it to the equation.....both sides
(x^2 -3/2 x + 9/16 ) = 5/2 + 9/16
(x- 3/4)^2 = 49/16 or (x-3/4)^2 - 49/16 = 0
Now you can SOLVE it (though Q did not ask this) take the sqrt of both sides
x-3/4 = +- 7/4
x = -1 and 10/4