Answer: The given equation is:
m^2 - 24mn + 144n^2 = m^2 - 144n^2
We can simplify and solve for m and n as follows:
Subtract m^2 from both sides:
-24mn + 144n^2 = -144n^2
Add 144n^2 to both sides:
-24mn = 0
Now, divide both sides by -24n (assuming n is not equal to 0):
m = 0
So, the solution for the variables in the equation is m = 0 and n can be any real number (except for 0, as we divided by n).