$$ \begin{aligned} 4y(6y-5)+3(6y-5) &= 0&& \text{simplify left side} \\[1 em]24y^2-20y+18y-15 &= 0&& \\[1 em]24y^2-2y-15 &= 0&& \\[1 em] \end{aligned} $$
$ 24x^{2}-2x-15 = 0 $ is a quadratic equation.
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