Answer :

[tex]2m^2 +2m-12=0 \ /:2\\ \\m^2+m-6=0\\ \\m^2+3m-2m-6=0\\ \\m(m+3)-2(m+3)=0\\ \\(m+3)(m-2)=0\\ \\m+3=0\ \ \ \vee\ \ \ m-2=0\\ \\.\ \ \ \ m=-3\ \ \ \ \ \ \ \ \ \ \ \ m=2[/tex]