Answer :
[tex]2x^2 - x - 6 = 0[/tex]
[tex](2x - 3) (x + 2) = 0[/tex]
[tex]2x - 3 = 0[/tex]
[tex]2x = 3[/tex]
[tex]x = \frac{3}{2} [/tex]
[tex]x + 2 = 0[/tex]
[tex]x = -2[/tex]
[tex]x = \frac{3}{2} , 2[/tex]
[tex](2x - 3) (x + 2) = 0[/tex]
[tex]2x - 3 = 0[/tex]
[tex]2x = 3[/tex]
[tex]x = \frac{3}{2} [/tex]
[tex]x + 2 = 0[/tex]
[tex]x = -2[/tex]
[tex]x = \frac{3}{2} , 2[/tex]
[tex]2x^2-x-6=0\\
2x^2-4x+3x-6=0\\
2x(x-2)+3(x-2)=0\\
(2x+3)(x-2)=0\\
x=-\frac{3}{2} \vee x=2[/tex]