2x^2-3x-2=0
1/2[2x^2-3x-2=0]1/2
x^2-3/2x-1=0
x^2-3/2x=1
x^2-3/2x+[1/2(-3/2)]^2=1+[1/2(-3/2)]^2
x^2-3/2x-81/16=1-81/16
x^2-3/2X-81/16=-64
(x-9/4)(x-9/4)=-64
sqrt of (x-9/4)=+-sqrt of (-64)
x-9/4=+-sqrt of -64
for the x1
x=9/4+sqrt of -64
for the x2
x=9/4-sqrt of -64
i hope it will help you
^_^