$$(x+10)(x+12) = 224$$
Answer
$$ \begin{matrix}x_1 = 4 & x_2 = -26 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (x+10)(x+12) &= 224&& \text{simplify left side} \\[1 em]x^2+12x+10x+120 &= 224&& \\[1 em]x^2+22x+120 &= 224&& \text{move all terms to the left hand side } \\[1 em]x^2+22x+120-224 &= 0&& \text{simplify left side} \\[1 em]x^2+22x-104 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+22x-104 = 0 $ is a quadratic equation.
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