find the roots of the equation x2-3x-m(m+3)=0 where m is a constant

find the roots of the equation x^2-3x-m(m+3)=0 where m is a constant

Solution:- given the equation is

 x^2-3x-m(m+3)=0

⇒x^2-3x-m^2-3m=0

⇒x^2-m^2-3x-3m=0

⇒(x-m)(x+m)-3(x+m)=0

⇒(x+m)(x-m-3)=0

⇒(x+m)=0 or (x-m-3)=0

⇒x=-m or x=m+3

Hence roots is -m, m+3