\begin{aligned} 3(x+8)^2+8&=83 \\\\ 3(x+8)^2&=75&\text{Step }1 \\\\ (x+8)^2&=225&\text{Step }2 \\\\ x+8&=\pm 15&\text{Step }3 \\\\ x=7&\text{ or }x=-23&\text{Step }4 \end{aligned}
3(x+8)
2
+8
3(x+8)
2

(x+8)
2

x+8
x=7
​

=83
=75
=225
=±15
or x=−23
​

Step 1
Step 2
Step 3
Step 4
​