Find the mistake in the below maths equations

A = 2
A(A-1) = 2(A-1)
A2-A = 2A-2
A2-2A = A-2
A(A-2) = A-2
A = 1

What has six faces, but does not wear makeup, has twenty-one eyes, but cannot see? What is it?

How many times can you subtract the number 5 from 25?

You need to climb ten stairs. At every stair, you can either take one step up or you can jump two steps up.

In how many different ways you can climb 10 stairs?

On rolling two dices (six-sided normal dice) together, what is the probability that the first one comes up with a 2 and the second one comes up with a 5?

What seven-letter word has hundreds of letters in it?

Identify the next two numbers in this series.

101, 112, 131, 415, 161, 718, ???, ???

The more it dries, the wetter it becomes. Can you tell what it is?

I shave every day, but my beard stays the same. What am I?

'Ferrari driver' easily beats the 'force driver' in a two-car race. How did Indian newspapers truthfully report so to look as a 'force drive' had outdone the 'Ferrari driver'? Think!!!