exam Maths Puzzle Numerical Ability

i need to find out if 5-2x over x2 is a rational expression

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Dear Tutor.
I have two questions. Can you , please help me ?
How to explain how equations come up with infinitely many solutions and no solution. Does having no solution mean that 0 is a solution?
Thank you. Solve: (x - 2/5) + (x - 7/3) = -1