"To change the equation" means to alter or transform the established situation or balance of power in a significant way. It implies introducing new factors or ideas that can lead to different outcomes or solutions. Full definition
Granted, writing commentary does sort of change the equation and, in that sense, I'm certainly not shy about making my opinions known. (entrepreneur.com)
Three years in a row of record - setting heat around the globe have changed the equation for corals. (climatecentral.org)
Moreover, we have not yet looked in detail at Scottish constituencies, which could potentially change the equation dramatically. (lordashcroftpolls.com)