Question
$$(x+5)(x+3) = 5x+25$$
Answer
$$ \begin{matrix}x_1 = 2 & x_2 = -5 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (x+5)(x+3) &= 5x+25&& \text{simplify left side} \\[1 em]x^2+3x+5x+15 &= 5x+25&& \\[1 em]x^2+8x+15 &= 5x+25&& \text{move all terms to the left hand side } \\[1 em]x^2+8x+15-5x-25 &= 0&& \text{simplify left side} \\[1 em]x^2+3x-10 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+3x-10 = 0 $ is a quadratic equation.
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