Question
$$3x^2+1 = 7x-3$$
Answer
$$ \begin{matrix}x_1 = 1 & x_2 = \dfrac{ 4 }{ 3 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 3x^2+1 &= 7x-3&& \text{move all terms to the left hand side } \\[1 em]3x^2+1-7x+3 &= 0&& \text{simplify left side} \\[1 em]3x^2-7x+4 &= 0&& \\[1 em] \end{aligned} $$
$ 3x^{2}-7x+4 = 0 $ is a quadratic equation.
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