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**Given that 2e^(t²) + e^t - 3e = 0, solve for t.**

I've been racking my brains to figure out a solution to this one. I know that this can easily be solved by using a graphing calculator, but is there an analytic method to deduce the value of t as well? According to my friend, since this is neither a polynomial nor an algebraic expression, an analytic method would be impossible (at least at A levels).

Thanks in advance to all those who help!

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