A=(({{4, 1, -3, 4}, {0, -4, 4, -5}, {-3, 2, 0, -4}}));
B=(({{0, 3, 0, -4}, {5, 0, 5, 5}, {-5, -2, -3, -4}}));
MC=(({{-(5/4)}, {-5}, {(2/3)}}));
Transpose[MC.Transpose[MC]]//MatrixForm
Clear[A,MC]
Solve[3 A BT-9MC MCT -(3/2Y )==0,Y](* Y = (X^T) *)

A=(({{4, 1, -3, 4}, {0, -4, 4, -5}, {-3, 2, 0, -4}}));
MC=(({{-(5/4)}, {-5}, {(2/3)}}));
MatrixForm[Transpose[2 (A.BT-3 MC.MCT)/.{BT->Transpose[B],MCT->Transpose[MC]}]]