Castiglianos second theorem for indeterminate structures

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in the following question it is known that the rod BD has only axial internal forces, (which i called Q) if AL2=10*I, find the reaction at C and the internal force Q.
Assume that the energy of normal forces is negligible compared to moment where there are both.

question.PNG

instead of using L/4 i defined L/4=a

the correct answers are supposed to be Cy=0.346P and Q=0.042P

these are my calculations

i have tried solving it 4 times now and can't get the correct answer.
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the structure is twice statically indeterminate therefore i need to use 2 equations to find the 2 unknowns