hi there im new to this forum and currently teaching myself maths

the problem i have is quadratic equations. the questions im stuck on are complete the square, giving the solution in surd form.

there is an example question i get all of it apart from the last few bits if somebody could point me in the right direction i would appreciate it

here is the example could you explain each step for me please

sqr= square root

2x^2-3x-3= 0

2x^2-3x = 3 (plus 3 to both sides)

2(x^2-3/2) = 3 (eliminate the co eff of x^2)

x^2-3/2x = 3/2 (divide both sides by 2)

x^2-

__3/2x__ __+9/16__ = 3/2+9/16 (add half of the co eff of x then square it)

(x-3/4)^2 = 33/16 (simplify)

x-3/4 =sqr33/16 or (find the square of both sides)

x-3/4 =

-sqr33/16 (ok i understand up to here)