Think about what the question is asking... When does that cost reach 0?
[tex]f(x) =4500 -120x + 60x \\[/tex]
Solve for when f(x) = 0
[tex]0 = 4500 - 60 x \\-4500 = -60x\\4500 = 60x \\4500/60 = x\\x = 75[/tex]
The store breaks even when it sells 75 bikes.
Hope this helps!
:)