SOLUTION: The operation * is defined on real numbers as follows a*b=a+b-ab Where a,b are real numbers Solve a*(a*2)=10

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Question 999385: The operation * is defined on real numbers as follows a*b=a+b-ab
Where a,b are real numbers
Solve a*(a*2)=10
Answer by fractalier(6550) About Me  (Show Source):
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Given the above operation,
a*(a*2) = 10
a*(a+2-2a)=10
a*(2-a)=10
a+(2-a)-a(2-a) = 10
2 - 2a + a^2 = 10
a^2 - 2a - 8 = 0
(a-4)(a+2)=0
a = 4 and a = -2