Answer:
Step-by-step explanation:
Given equation:
Factorize it in steps:
The roots are:
[tex]\\ \tt\hookrightarrow 3x^2+5x+2=0[/tex]
[tex]\\ \tt\hookrightarrow 3x^2+3x+2x+2=0[/tex]
[tex]\\ \tt\hookrightarrow 3x(x+1)+2(x+1)=0[/tex]
[tex]\\ \tt\hookrightarrow (3x+2)(x+1)=0[/tex]
[tex]\\ \tt\hookrightarrow x=\dfrac{-2}{3}\:or\:x=-1[/tex]