To find the solution, we know that
(2x-3)^6 = 729 - 2916 x + 4860 x^2 - 4320 x^3 + 2160 x^4 - 576 x^5 + 64 x^6
We just need to create the system of equations using the right side of the expression, adjusting the coefficients value so it matches the result of the equation above.
Doing so, making use of computational tools we find the solution in the picture attached below.
