Consecutive terms of arithmetic sequence are the roots of x^3-36x^2+415x+P=0. common difference ?

Find the common difference of arithmetic sequence which has consecutive values that are the roots of a cubic polynomial with an UNKNOWN constant term!
Justification for the cubic form of Vieta's formulas is presented
Jakarta based Math teacher Rose Mary Tania Arini, May 2021, created clear content over foundational material regarding this topic.
Consecutive Terms Of Arithmetic Sequence Are The zeroes Of A Cubic Equation