$$ \begin{aligned} (5y-4)(3y-1) &= 0&& \text{simplify left side} \\[1 em]15y^2-5y-12y+4 &= 0&& \\[1 em]15y^2-17y+4 &= 0&& \\[1 em] \end{aligned} $$
$ 15x^{2}-17x+4 = 0 $ is a quadratic equation.
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