
The Change Equation: From Gleicher to Beckhard-Harris
A Formula That Changed How We Think About Change
In the early 1960s, a management consultant named David Gleicher proposed something unusual for the field of organisational development: a formula. Not a process model, not a maturity framework, not a list of best practices. A formula. C = (ABD) > X. It suggested that change (C) occurs when the product of dissatisfaction with the current state (A), a desired end state (B) and practical steps towards that state (D) exceeds the cost of change (X).
Gleicher worked at Arthur D. Little, one of the oldest management consultancies in the world. His formula was an attempt to explain why some organisations embraced transformation while others, facing identical pressures, remained stuck. The mathematical notation was deliberate. It implied that these factors did not simply add up. They multiplied. Remove any one factor and the entire equation collapses to zero.
Beckhard and Harris Bring It to the Mainstream
The formula might have remained an obscure consulting artefact had Richard Beckhard not seen its potential. Beckhard was already a towering figure in organisational development. Along with Warren Bennis and Edgar Schein, he had helped establish OD as a recognised discipline. When he and Reuben Harris published Organizational Transitions: Managing Complex Change in 1977, they included a refined version of Gleicher’s formula. Their notation became D x V x F > R: Dissatisfaction times Vision times First steps must exceed Resistance.
The refinement was more than cosmetic. Beckhard and Harris shifted the language from abstract variables to terms that practitioners could immediately connect to their experience. Everyone in an organisation knows what dissatisfaction feels like. Everyone understands the concept of a vision. First steps are tangible. Resistance is the force they fight daily.
Beckhard brought something else to the formula: a theoretical framework to support it. His four-theme model for large-system change provided the structure that Gleicher’s equation lacked. Determining the need for change mapped to dissatisfaction. Articulating the desired future mapped to vision. Assessing the present and planning the transition mapped to first steps. The equation became a summary of a more complete methodology.
Dannemiller’s Simplification
By the 1990s, Kathie Dannemiller and her colleagues at Dannemiller Tyson Associates had been using the formula extensively in large-group interventions. They found that practitioners needed something they could write on a whiteboard and explain in five minutes. Dannemiller kept Beckhard’s D x V x F > R notation but stripped away the surrounding methodology. The equation became a standalone diagnostic tool, accessible to project managers and team leaders who had never studied organisational development theory.
This simplification had consequences. It made the formula one of the most widely cited models in change management training. It also sometimes produced superficial application. Teams would assess D, V and F as high or low without understanding the deeper organisational dynamics that Beckhard’s four-theme framework was designed to address.
What the Multiplication Sign Really Means
The most important element in the equation is not a word. It is the multiplication sign. Addition would suggest that strong vision could compensate for absent dissatisfaction. It cannot. Multiplication means that weakness in any single factor undermines the whole. A team with burning dissatisfaction and brilliant first steps but no coherent vision will not sustain change. The energy dissipates into unfocused activity.
This has a practical implication that many change leaders overlook. The instinct when facing resistance is to push harder on whatever factor feels strongest. If the case for change is clear, leaders repeat it louder. If the vision is compelling, they present it more often. The equation suggests a different approach: find the weakest factor and strengthen it. Change fails at its weakest link.
Is resistance always the enemy?
The right side of the equation deserves more attention than it typically receives. Resistance is not a character flaw or a sign of insufficient commitment. It is the rational response of people who judge that the cost of change exceeds the benefit. When resistance is high, the productive question is "what is it telling us about D, V or F?"
Using the Equation as a Diagnostic
For any change initiative, the formula provides three diagnostic questions:
- Dissatisfaction: Do the people affected genuinely understand why the current state is unsustainable? Has the case been made with data and honest conversation?
- Vision: Can people describe the future state in concrete terms? Do they see their role in it?
- First steps: Do people know what to do next? Are the initial actions achievable and visible?
Where you find weakness, you find your intervention point. Low dissatisfaction calls for better communication of the burning platform. A vague vision requires collaborative workshops to define the target state. Missing first steps demand a practical roadmap with quick wins.
The Formula in Contemporary Practice
Sixty years after Gleicher first proposed it, the change equation continues to appear in MBA programmes, consulting frameworks and project management training. Modern practitioners increasingly pair it with implementation frameworks. Kotter’s eight steps provide the sequenced action plan that D x V x F > R does not. The ADKAR model offers an individual-level perspective that complements the equation’s organisational focus. The equation tells you whether change is possible. These other models tell you how to execute it.
Some organisations use the formula as a project gate. Before approving a change initiative, they assess each factor and require evidence that all three are present. Nobody multiplies real numbers. But the structured conversation it forces is valuable precisely because it surfaces assumptions that would otherwise remain hidden until the programme is already underway and failing.
Richard Beckhard spent nearly fifty years helping organisations navigate transformation. The formula he popularised survives because it encodes a truth about human systems that more sophisticated models sometimes obscure: people do not change because they are told to. They change when the conditions are right.
