Question
$$3x(x+4)-(2x+7) = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 5 }{ 3 }-\dfrac{\sqrt{ 46 }}{ 3 } & x_2 = -\dfrac{ 5 }{ 3 }+\dfrac{\sqrt{ 46 }}{ 3 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 3x(x+4)-(2x+7) &= 0&& \text{simplify left side} \\[1 em]3x^2+12x-(2x+7) &= 0&& \\[1 em]3x^2+12x-2x-7 &= 0&& \\[1 em]3x^2+10x-7 &= 0&& \\[1 em] \end{aligned} $$
$ 3x^{2}+10x-7 = 0 $ is a quadratic equation.
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