Moments Q: Determining EI Beam Distribution

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The question I'm attempting to do is part (a):

http://www.picpaste.com/struc1-z7FJMCcF.jpg

which translates to: determine distribution of moment, The beam is elastic and has constant EI throughout its entire length. Now part of the solution looks like this:

http://www.picpaste.com/struc2-8VGlrDU7.png

My question is how the moments M_A and M_C replaced with (i.e. equal to) qL^2/18 in this solution?
 
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Welcome to PF;
My question is how the moments M_A and M_C replaced with (i.e. equal to) qL^2/18 in this solution?
Looking at the distribution in the diagram, it certainly looks like the magnitudes of the moments about A and C should be the same (opposite directions).
Have you tried calculating them?
 
The cantilevered portions of the beam ends were replaced with equivalent moments Ma and Mc using simple statics.