Question
$$2x(x-7)+3(x-7) = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 3 }{ 2 } & x_2 = 7 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 2x(x-7)+3(x-7) &= 0&& \text{simplify left side} \\[1 em]2x^2-14x+3x-21 &= 0&& \\[1 em]2x^2-11x-21 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-11x-21 = 0 $ is a quadratic equation.
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