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Question on a differential equation

Let $x:\mathbb{R}\Rightarrow \mathbb{R}$ a solution of the differenzial equation:

$5x{}^{\u2033}\left(t\right)+10{x}^{\prime}\left(t\right)+6x\left(t\right)=0$

Proof that the function:

$f:\mathrm{\mathbb{R}}\Rightarrow \mathrm{\mathbb{R}}$