# Chapter P - Section P.7 - Equations - Exercise Set - Page 106: 76

Solution set = $\{-6,-2\}.$

#### Work Step by Step

Quadratic formula: $\displaystyle \quad x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ $x^{2}+8x+12=0 \quad\rightarrow \left\{\begin{array}{l} a=1\\ b=8\\ c=12 \end{array}\right.$ $x=\displaystyle \frac{-8\pm\sqrt{8^{2}-4(1)(12)}}{2(1)}=\frac{-8\pm\sqrt{64-48}}{2}$ $=\displaystyle \frac{-8\pm\sqrt{16}}{2}=\frac{-8\pm 4}{2}$ $x=\displaystyle \frac{-8-4}{2}=\frac{-12}{2}=-6\qquad$ or $x=\displaystyle \frac{-8+4}{2}=\frac{-4}{2}=-2$ Solution set = $\{-6,-2\}.$

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