Question 72957
m^3+2m^2-3m=0  

M(M^2+2m-3)=0
Good start, now finish factoring.
m(m____)(m___)=0  
fill the blanks with two integers that multiply to give you the last term, -3, but add to give you the middle coefficient, +2.
3*-1=-3 and 3+(-1)=+2
m(m+3)(m-1)=0  
Set each factor equal to 0 and solve:
m=0 or m+3=0 or m-1=0
m=0 or m+3-3=0-3 or m-1+1=0+1
m=0 or m=-3 or m=1
Happy Calculating!!!!!