6x^2+9x-6=0
"solution 1:"
"factor the equation :"
3(x+2)(2x-1)=0
"if " x+2=0" ; "x=-2
"if "2x-1=0" ; "2x=1" ; "x=1/2
"solution 2:"
"use quadratic formula"
ax^2+bx+c=0
6x^2+9x-6=0
a=6" ; "b=9" ; "c=-6
Delta=sqrt(b^2-4*a*c)
Delta=sqrt(9^2+4*6*6)
Delta=sqrt(81+144)
Delta=sqrt(225)
x_1=(-9-sqrt(225))/(2*6)=(-9-15)/12=-24/12=-2
x_2=(-9+sqrt 225)/(2*6)=(-9+15)/12=6/12=1/2