Find a if the coefficient of x^7 in the expansion of (3x + a) ^12 is -228096

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Find a if the coefficient of x^7 in the expansion of (3x + a) ^12 is -228096

Mathematics
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Paschal's Triangle Binomial Theorem
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@jim_thompson5910 this looks messy but do you agree?
@Zale101 is there a better way to do this?
@triciaal you forgot about raising 3 to the 7th power
@jim_thompson5910 in the substitution yes thanks
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x^7 will be the 6th term. Hence, using binomial expansion 12C5*3^5*a^5*x^7 = 228096. Solving a^5 = 1.1852. Benefits of Literacy http://blog.tutorvista.com/2015/09/benefit-of-literacy/

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