Please show work if you can

Answer:
-5, 5
Step-by-step explanation:
Original equation
[tex]5x^{2} +8 = 133[/tex]
Move 8 to the right
[tex]5x^{2} = 133 - 8[/tex]
Solve
[tex]5x^{2} = 125[/tex]
Divide both sides by 5
[tex]x^{2} = 25[/tex]
Take the square root of both sides
[tex]x =[/tex] ± [tex]5[/tex]
Separate into two different equations
[tex]\left \{ {{x=-5} \atop {x=5}} \right.[/tex]