What are the real zeros of y=(x+3)^3+10
can someone teach me how to do this

You need to solve 
(x +3)^3 + 10  = 0 for x
cubic equations can be tricky to solve
drawing a graph will help to give the approximate roots
https://www.desmos.com/calculator/1tyyjo0lsa

- Theres the graph as you can see there's only one real zero and thats very close to x = 5

Cubic equations will have 3 roots. The other 2 roots for this equation are complex.