Question

3x^2-x-2=0
Show all work please

Answer 1

`\large\boxed{x=-(2)/(3)\ or\ x=1}`

Explanation:

`3x^2-x-2=0\\\\3x^2+2x-3x-2=0\\\\x(3x+2)-1(3x+2)=0\\\\(3x+2)(x-1)=0\iff3x+2=0\ \vee\ x-1=0\\\\3x+2=0\qquad\text{subtract 2 from both sides}\\3x=-2\qquad\text{divide both sides by 3}\\x=-(2)/(3)\\\\x-1=0\qquad\text{add 1 to both sides}\\x=1`