$$\frac { t } { t + 4 } + \frac { t + 1 } { 2 t } = \frac { - 1 - t } { 1 }$$
$t=\frac{-\sqrt[3]{3\sqrt{4677}+892}-\sqrt[3]{892-3\sqrt{4677}}-13}{6}\approx -5.356158107$