Edward C. answered 03/09/15
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Caltech Grad for math tutoring: Algebra through Calculus
Multiply by 10 to clear the fractions
8t2 = 2t + 3
8t2 - 2t - 3 = 0
(4t - 3)(2t + 1) = 0
4t - 3 = 0 or 2t + 1 = 0
t = 3/4 or t = -1/2