Question
$$5x^2+25+30x\cdot2+6x+8 = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 33 }{ 5 }-\dfrac{ 2 \sqrt{ 231}}{ 5 } & x_2 = -\dfrac{ 33 }{ 5 }+\dfrac{ 2 \sqrt{ 231}}{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 5x^2+25+30x\cdot2+6x+8 &= 0&& \text{simplify left side} \\[1 em]5x^2+25+60x+6x+8 &= 0&& \\[1 em]5x^2+66x+33 &= 0&& \\[1 em] \end{aligned} $$
$ 5x^{2}+66x+33 = 0 $ is a quadratic equation.
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