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