Given equation is :
[tex]x^{2} -\frac{3x}{4} =5[/tex]
Step 1: half of coefficient of x
[tex]\frac{-3}{4} *\frac{1}{2} = \frac{-3}{8}[/tex]
Squaring this we get
[tex](\frac{-3}{8} )^{2} = \frac{9}{64}[/tex]
step 2:
Adding [tex]\frac{9}{64}[/tex] to both sides
[tex]x^{2} -\frac{3x}{4} +\frac{9}{64} = 5 +\frac{9}{64}[/tex]