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Question

Solve for x:

12x2 + 36a2 = 43ax


Solution

Rearranging the terms, we get

12x2 - 43ax + 36a2 = 0

12x2 - 16ax – 27ax + 36a2 = 0

4x(3x – 4a) - 9a(3x – 4a) = 0

(4x – 9a)(3x – 4a) = 0

  x = 4a/3 or x = 9a/4

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