I prefer to write it as
12x^2 -43 ax + 36a^2 = 0
Look for something of the form
(4x -ma)(3x - na) where mn = 36 and
(3m + 4n) = 43
How about m = 9 and n = 4?
(4m -9a)(3m - 4a) It works
Solve the quadratic equation 12x^2 + 36a^2= 43ax by factorization
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