IBD Technical Interview Question (GS/JPM/MS)

"How would I calculate “break-even synergies” in an M&A deal and what does the number mean?

To do this, you would set the EPS accretion / dilution to $0.00 and then back-solve in Excel to get the required synergies to make the deal neutral to EPS.

It’s important because you want an idea of whether or not a deal “works” mathematically, and a high number for the break-even synergies tells you that you’re going to need a lot of cost savings or revenue synergies to make it work. "

Can anyone explain the intuition behind this? I am having a hard time understanding it. Perhaps a link to an example would be helpful. Thanks in advance.