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