exam Maths Puzzle Numerical Ability

A patrol plane flies 220 miles per hour in still air. It carries fuel for 4 hours of safe flying. If it takes off on patrol against a wind of 20 miles per hour, how far can it fly and return safely?

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The question is?

Is the operation performed correct ? Explain.

(4x^2 + 6x) / (2x) = 2x + 6 g^2-g-12/g^2-10g+24 divided by g^2-9/g^2-7g+6