What times what equals 21 but adds up to - 22

Let "what" and "what" be A and B

Put this in an algebraic equation

A * B = 21

A + B = - 22

A must = - 21 and B must = - 1, this is because two negatives multiply to make a positive

A + B = - 22, - 21 + - 1 = - 22