To find the roots of the expression (x+6)(x+2), we can set it equal to zero and solve for x. So, (x+6)(x+2) = 0. By using the zero product property, we know that either (x+6) = 0 or (x+2) = 0. Solving each equation separately, we find that x = -6 or x = -2. These are the roots of the expression.