In general is there a systematic of solving equations of the following form: $$ a \exp(bx^2+cx)+ d \exp(x) = e $$ where $a$, $b$, $c$, $d$, $e$ are constants and $x$ is the unknown.
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5You have been around for almost two years. Haven't you yet noticed that you are supposed to use MathJax around here? – José Carlos Santos Jan 13 '22 at 07:15
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1In answer to your question, no, there is no closed form solution to this equation in general. – Paul Jan 13 '22 at 07:58
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@Paul is there a way to tell if there exists a real valued solution? – Sam Jan 13 '22 at 09:06