Please solve and explain the equation below explain in one o

Please solve and explain the equation below explain in one or two paragraph (The alpha letter B is the beta symbol).
m d2x/dt2 + B ldx/dtl dx/dt + kx =0
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m d2x/dt2 + B ldx/dt + kx =0 so it is a homogenous differential eq let dx/dt=D m D^2+BlD+k=0 D1=(-Bl+sqrt((Bl)^2-4*m*k) ) /2m , D2=(-Bl-sqrt((Bl)^2-4*m*k) ) /2m so solution will be y=Ae^(D1t)+Be^(D2t) where A and B are constants