$$ \begin{aligned} 3x^2+5x-4+2x^2-x+3 &= 0&& \text{simplify left side} \\[1 em]5x^2+4x-1 &= 0&& \\[1 em] \end{aligned} $$
$ 5x^{2}+4x-1 = 0 $ is a quadratic equation.
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