Equation Financial Mathematics

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To solve the equation a * 0.1 + (1-a) * 0.05 = 0.0608, first expand the equation to get 0.1a + 0.05 - 0.05a = 0.0608. Combining the terms gives 0.05a + 0.05 = 0.0608. Subtracting 0.05 from both sides results in 0.05a = 0.0108. Finally, dividing by 0.05 yields a = 0.216.
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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 :bugeye:
 
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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?
 

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