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Question: How do I solve this equation?

Question:How do I solve this equation?

toandhsp 300 Maple 15
December 25 2012
0 
I want to solve the equation f(f(-1))=sqrt(2)+g(f(2)), where
f:=x->a/x^2-3*x+2 and g:=x->a*sin(2*x), a is an unknow. I tried
restart:
f:=x->a/x^2-3*x+2:
g:=x->a*sin(2*x):
solve(f(f(-1))=sqrt(2)+g(f(2)),a):
evalf(%);
and receive 13.02210936+4.135282756*I. This is a complex solution. I know that, the equation has a real number is -5.81218. How can I get this real solution?
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