2x(x+1)=3(x+2)
[tex]2 x^{2} +2x=3x+6[/tex]
[tex]2 x^{2} +2x-3x-6=0[/tex]
[tex]2 x^{2} -x-6=0[/tex]
Δ=[tex]b^{2}-4ac = (-1)^{2} -4 * 2 *(-6) = 1+48=49[/tex]
[tex]x_{1}= \frac{-b+ \sqrt{49} }{2a} = \frac{1+7}{4} =2[/tex]
[tex]x_{1}= \frac{-b+ \sqrt{49} }{2a} = \frac{1-7}{4} = \frac{-6}{4} = - \frac{3}{2} [/tex]
