5/2t - t = 3 + 3/2t   please solve  

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5/2t - t = 3 + 3/2t

We will combine like terms,

==> 5/2t - 3/2t - t= 3

==> (5-3)/2t - t = 3

==> 2/2t - t = 3

==>  1/t - t= 3

==> Multiply by t.

==> 1 - t^2 = 3t

==> t^2 + 3t -1 = 0

==> t= [ -3 + sqrt(9+4)/ 2 = (-3+sqrt13)/ 2

==> t2= (-3-sqrt13)/2

Then we have two solution.

==> t= { (-3+sqrt13)/2  ,   (-3-sqrt13)/2 }

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