In traditional development we often make an assumption that it is impossible or to costly too test the software early and often. Many companies has proven that the opposite is true; “if it hurts, do it more often” is the key to success.
Doing an analysis of the costs associated with the current situation, a ROI of implementing more automation or Continuous Delivery and then creating a business case is usually a good first step.
Negative spirals are often created by some common anti-patterns. These anti-patterns are very effectively solved by DevOps and Continuous Delivery.