A-Level Maths: F5-21 [Exponential Equations: Harder Examples of Hidden Quadratics]

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What do you mean by "multiply through to 5^2x" for the second example? How come you've only multiplied some of the terms by 5^2x. For example, you multiply 5^2x by 5^2x to get rid of it but the first 2 terms (2 and 5^3) remain the same.
I might be explaining it wrong, I'm just a bit confused. p.s thank you for all the videos

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