Equation Financial Mathematics

[Izekid]

Please help me solve this equation

a * 0,1 + (1-a) * 0,05 = 0,0608

My head is like a bomb i can't solve it

 

[HallsofIvy]

This has nothing to do with differential equations! Also it looks like secondary school homework so I am moving it there.

a * 0,1 + (1-a) * 0,05 = 0,0608
First multiply out that parenthised term: (1-a)(0,05)= 0,05- 0,05a.
0,1 a+ 0,05- 0,05a= 0,0608

Now combine the two "a" terms: 0,1 a- 0,05a= (0,1-0,05)a= 0,05a.
0,06a+ 0,05= 0,0608

Can you finish it from there?