The problem is in the fourth step, where you have cancelled (10-10) with (10-10), because it would be the same as cancelling 0 with 0, so before performing the fourth step, try to prove 0/0 =1.
Seems it is equal to both. But wait, try to do it with some variations equating it with 3,4,5 and it will satisfy all values. That why the solution is called indefinite because its solution set includes indefinitely many numbers.
Can lead to a paradox!!!

Let me give you a reason for it, i have not seen it anywhere, just formulated it here only, so it can be wrong too.To start, I can write (100-100)/(100-100) as [100/(100-100)] - [100/(100-100)] which is equal to (100/0) - (100/0), it would be the same as infinity - infinity, and let me remind you that infinity is just a concept rather than a number so the solution set contains infinite numbers. You can ask if you have a doubt in this explanation.

@Aßhĩмanyu Singh
–
100-100 can have infinite values, that is why mathematicians write it as not definite. If you know how to solve quadratic equations, u must know they have two roots, For example:- let us take a quadratic equation in which x=1 and x=2. but can i write 1=x=2? Obviously not! This is the case

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TopNewestYou can't cancel \( (10-10) \)

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ohk

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The problem is in the fourth step, where you have cancelled (10-10) with (10-10), because it would be the same as cancelling 0 with 0, so before performing the fourth step, try to prove 0/0 =1. Seems it is equal to both. But wait, try to do it with some variations equating it with 3,4,5 and it will satisfy all values. That why the solution is called indefinite because its solution set includes indefinitely many numbers. Can lead to a paradox!!!

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hey, if i say that prob. is in 1st step only like we know that 4/4=1 , 2/2 =1 , 3/3 =1, therefore 100-100/100-100 = 1 then

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Let me give you a reason for it, i have not seen it anywhere, just formulated it here only, so it can be wrong too.To start, I can write (100-100)/(100-100) as [100/(100-100)] - [100/(100-100)] which is equal to (100/0) - (100/0), it would be the same as infinity - infinity, and let me remind you that infinity is just a concept rather than a number so the solution set contains infinite numbers. You can ask if you have a doubt in this explanation.

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Aiya, the problem is the first step lah. You cannot divide anything by 0, otherwise you get a undefined result.

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