The Greenagel Equations are a set of practical frameworks developed between 2005 and 2008 in school, outpatient and family treatment settings. They were built in rooms, not in theory, and have been used with students, families, law enforcement, veterans and therapists.
They are behavioral frameworks designed to clarify patterns, reduce confusion and force alignment between belief and action. They are not diagnostic tools and they are not academic abstractions. Each equation compresses a recurring clinical problem into a usable structure.
They have been taught, refined and applied for nearly two decades across educational, recovery and supervisory settings.
These frameworks may be used in teaching, supervision and clinical work with attribution to Frank Greenagel and a link to the original source.
1. Behavioral–Values Matrix
Live your values.
High value + high behavior = alignment
High value + low behavior = conflict
Low value + low behavior = congruent, but corrosive
Low value + high behavior = right action for the wrong reason
Behavioral change is not about self-esteem or affirmation.
It is about clarifying values, auditing behavior and closing the gap.
Read the full article: Behavioral–Values Matrix
Published February 19, 2026
2. Blue–Blue, Blue–Red, Red–Red
Red and Blue are behaviors, not identities.
Blue–Blue = stable and healthy
Red–Red = stable and unhealthy
Blue–Red = unstable
If your behavior depends entirely on how someone else behaves, you are not free.
Read the full article: Blue–Blue, Blue–Red, Red–Red
Published February 20, 2026
3. The Math of Trust
Tr = C × Ti
Trust = Consistency × Time
Multiplication matters. Not addition.
Trust is behavioral. Not emotional.
Hope, love, guilt and fear are not in the equation.
Read the full article: The Math of Trust
Published February 21, 2026
4. The Hobby Matrix
A life concentrated in one environment is a life vulnerable to collapse.
Balance does not mean equal time.
It means no quadrant is chronically empty.
Draw four boxes.
Ask where time goes.
Look for zeros and clustering.
Increase breadth.
Read the full article: The Hobby Matrix
Published February 22, 2026
Citation: Greenagel, Frank. (2026). The Greenagel Equations. https://greenagel.com