$$3x^2-8x^2+12x+5 = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 6 }{ 5 }-\dfrac{\sqrt{ 61 }}{ 5 } & x_2 = \dfrac{ 6 }{ 5 }+\dfrac{\sqrt{ 61 }}{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 3x^2-8x^2+12x+5 &= 0&& \text{simplify left side} \\[1 em]-5x^2+12x+5 &= 0&& \\[1 em] \end{aligned} $$
$ -5x^{2}+12x+5 = 0 $ is a quadratic equation.
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