Respuesta :
Answer:
Step-by-step explanation:
Alright, lets get started.
The given equation is :
[tex]2(5x+2)^2=48[/tex]
If we divide it from 2 in both sides
[tex]\frac{2(5x+2)^2}{2}=\frac{48}{2}[/tex]
[tex](5x+2)^2=24[/tex]
Taking square root on both sides
[tex](5x+2)=[/tex]±24
[tex](5x+2)=[/tex]±2√6
Subtracting 2 in both sides
[tex]5x=[/tex]±2√6-2
Dividing 5 in both sides
[tex]x=\frac{2\sqrt{6}-2 }{5} or x=\frac{-2\sqrt{6}-2}{5}[/tex] : Answer
Hope it will help :)